Edit Profile (opens in new tab) Hilton, Peter John (b. 1923 d. 2010) Co-Author Distance Author ID: hilton.peter-j Published as: Hilton, Peter; Hilton, Peter J.; Hilton, P. J.; Hilton, P. more...less External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 320 Publications since 1950, including 29 Books 6 Contributions as Editor · 5 Further Contributions Biographic References: 5 Publications Co-Authors: 69 Co-Authors with 204 Joint Publications 753 Co-Co-Authors all top 5 Co-Authors 123 single-authored 61 Pedersen, Jean J. 29 Roitberg, Joseph 24 Eckmann, Beno 14 Deleanu, Aristide 13 Mislin, Guido 11 Stammbach, Urs 6 Griffiths, H. Brian 5 Casacuberta, Carles 5 Ledermann, Walter 5 Scevenels, Dirk 4 Ganea, Tudor 3 Berstein, Israel 3 Dula, Giora 3 Hardie, Keith A. 3 Schuck, Christopher 3 Wu, Yel-Chiang 2 Bekes, Robert A. 2 Frei, Armin 2 Holton, Derek Allan 2 Militello, Robert R. 2 Pressman, Irwin S. 2 Walden, Byron L. 2 Walser, Hans R. 2 Wylie, Shaun 1 Adams, John Frank 1 Albers, Donald J. 1 Baker, Ruth Elizabeth 1 Barratt, M. G. 1 Batey, Mavis 1 Boden, Margaret A. 1 Boggs, Paul T. 1 Bokor, Imre 1 Bowen, Jonathan P. 1 Bucur, Ion 1 Campbell-Kelly, Martin 1 Carpenter, Brian E. 1 Carroll, Tim 1 Cassidy, Charles 1 Castellet, Manuel 1 Caughey, Catherine 1 Copeland, B. Jack 1 Doran, Robert W. 1 Douglas, Roy R. 1 Downey, Rodney Graham 1 Edwards, Harold Mortimer jun. 1 Fay, Temple H. 1 Fenn, Roger A. 1 Finney, Ross L. 1 Grattan-Guinness, Ivor 1 Greenberg, Joel A. 1 Greenish, Simon 1 Groat, Giuliana 1 Gross, Walter E. 1 Halmos, Paul Richard 1 Hanisch, Herman 1 Hirsch, Warren M. 1 Hirzebruch, Friedrich 1 Hogg, Robert V. 1 Ireland, Eleanor 1 James, Ioan Mackenzie 1 Kaufmann-Bühler, Walter 1 King, Jerry P. 1 Kleisli, Heinrich 1 Koblitz, Neal I. 1 Lax, Anneli 1 Leavitt, David W. 1 Leite, Paulo 1 Long, Jason 1 Long, Richard S. 1 Love, Bruce 1 Lucas, William F. 1 Maini, Philip Kumar 1 Maranda, Jean-Marie 1 Marcum, Howard J. 1 Meltzer, Nancy S. 1 Miles, Ernest P. jun. 1 Miller, George M. 1 Osborn, Howard Ashley 1 Peters, Alice 1 Peters, Klaus-Heinrich 1 Peterson, Franklin P. 1 Pfenninger, Markus 1 Poiani, Eileen L. 1 Postnikov, Mikhail Mikhaĭlovich 1 Poston, Timothy 1 Pour-El, Marian Boykan 1 Prinz, Dani 1 Proudfoot, Diane 1 Quintanar-Zilinskas, Victor 1 Raĭkov, Dmitriĭ Abramovich 1 Ralston, Anthony 1 Randell, Brian 1 Rees, David 1 Remmert, Reinhold W. 1 Richards, Bernard 1 Roberts, Jerry Allan 1 Robertson, Tim 1 Rogers, Hartley jun. 1 Rosenthal, William E. 1 Ross, Peter ...and 33 more Co-Authors all top 5 Serials 13 Commentarii Mathematici Helvetici 11 International Journal of Mathematics and Mathematical Sciences 9 Fundamenta Mathematicae 9 Proceedings of the Cambridge Philosophical Society 7 Mathematics Magazine 7 Journal of Pure and Applied Algebra 6 The Mathematical Intelligencer 6 Cahiers de Topologie et Géométrie Différentielle Catégoriques 6 Proceedings of the London Mathematical Society. Third Series 6 Southeast Asian Bulletin of Mathematics 6 Publicacions Matemàtiques 5 Mathematische Zeitschrift 5 Proceedings of the American Mathematical Society 5 Bulletin de la Société Matheḿatique de Belgique. Série B 5 Expositiones Mathematicae 5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 4 American Mathematical Monthly 4 Illinois Journal of Mathematics 4 Journal of Algebra 4 The Quarterly Journal of Mathematics. Oxford Second Series 4 Topology 4 Visual Mathematics 4 Bulletin de la Société Mathématique de Belgique 4 Lecture Notes in Mathematics 3 Houston Journal of Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Boletim da Sociedade Brasileira de Matemática 3 Canadian Journal of Mathematics 3 The Fibonacci Quarterly 3 Mathematische Annalen 3 Quaestiones Mathematicae 3 Publicacions. Secciò de Matemàtiques 3 L’Enseignement Mathématique. 2e Série 3 Nieuw Archief voor Wiskunde. Vierde Serie 3 Bulletin of the Belgian Mathematical Society - Simon Stevin 3 Bulletin of the American Mathematical Society 3 The College Mathematics Journal 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Educational Studies in Mathematics 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Transactions of the American Mathematical Society 2 Topology and its Applications 2 Panamerican Mathematical Journal 2 Elemente der Mathematik 2 Bulletin de la Société Mathématique de Belgique. Série A 2 Acta Mathematica Sinica. New Series 2 Topological Methods in Nonlinear Analysis 2 Annals of Mathematics. Second Series 2 Symmetry: Art and Sciences 2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 2 Journal of the London Mathematical Society 2 Bulletin de l’Académie Polonaise des Sciences, Classe 3 2 Mathematisch-Physikalische Semesterberichte, Neue Folge 2 Graduate Texts in Mathematics 2 Regional Conference Series in Mathematics 2 Undergraduate Texts in Mathematics 2 Séminaire de Mathématiques Supérieures 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 The Mathematical Gazette 1 Menemui Matematik 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Inventiones Mathematicae 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Scandinavica 1 Journal of the Nigerian Mathematical Society 1 Forum Mathematicum 1 Mathematical Chronicle 1 Proceedings of the National Academy of Sciences of the United States of America 1 Algebra Colloquium 1 Congressus Numerantium 1 Far East Journal of Mathematical Sciences 1 Journal of the Australian Mathematical Society 1 Rendiconti di Matematica, VI. Serie 1 London Mathematical Society Lecture Note Series 1 MAA Studies in Mathematics 1 North-Holland Mathematics Studies 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Anais da Academia Brasileira de Ciências 1 Cambridge Tracts in Mathematics and Mathematical Physics 1 MAA Spectrum all top 5 Fields 97 Algebraic topology (55-XX) 83 Group theory and generalizations (20-XX) 44 Category theory; homological algebra (18-XX) 34 Number theory (11-XX) 28 General and overarching topics; collections (00-XX) 24 Combinatorics (05-XX) 18 History and biography (01-XX) 15 Geometry (51-XX) 14 Manifolds and cell complexes (57-XX) 11 Convex and discrete geometry (52-XX) 7 General topology (54-XX) 5 Commutative algebra (13-XX) 5 Mathematics education (97-XX) 4 Information and communication theory, circuits (94-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 213 Publications have been cited 2,245 times in 1,761 Documents Cited by ▼ Year ▼ A course in homological algebra. Zbl 0238.18006 Hilton, P. J.; Stammbach, U. 294 1971 A course in homological algebra. 2nd ed. Zbl 0863.18001 Hilton, P. J.; Stammbach, U. 193 1997 Localization of nilpotent groups and spaces. Zbl 0323.55016 Hilton, Peter; Mislin, Guido; Roitberg, Joe 191 1975 Homology theory. An introduction to algebraic topology. Zbl 0091.36306 Hilton, Peter J.; Wylie, S. 137 1960 Catalan numbers, their generalization, and their uses. Zbl 0767.05010 Hilton, Peter; Pedersen, Jean 106 1991 On the homotopy groups of the union of spheres. Zbl 0064.17301 Hilton, Peter J. 95 1955 Group-like structures in general categories. I. Multiplications and comultiplications. Zbl 0099.02101 Eckmann, Beno; Hilton, Peter J. 92 1962 An introduction to homotopy theory. Zbl 0051.40302 Hilton, Peter J. 67 1953 On the chain algebra of a loop space. Zbl 0071.16403 Adams, J. F.; Hilton, Peter J. 64 1956 Category and generalized Hopf invariants. Zbl 0113.38301 Berstein, I.; Hilton, Peter J. 37 1960 Homotopy theory and duality. Zbl 0155.50801 Hilton, Peter J. 25 1967 On suspensions and comultiplications. Zbl 0115.40403 Berstein, I.; Hilton, Peter J. 24 1963 Localization and cohomology of nilpotent groups. Zbl 0264.20037 Hilton, Peter 24 1973 Operators and cooperators in homotopy theory. Zbl 0094.17301 Eckmann, Beno; Hilton, Peter J. 22 1960 Group-like structures in general categories. II: Equalizers, limits, lengths. III: Primitive categories. Zbl 0115.01403 Eckmann, Beno; Hilton, Peter J. 22 1963 On principal \(S^ 3\)-bundles over spheres. Zbl 0159.53903 Hilton, Peter J.; Roitberg, J. 22 1969 On the differentials in the Lyndon-Hochschild-Serre spectral sequence. Zbl 0268.20035 Hilton, Peter; Stammbach, Urs 21 1973 Neutral maps of extension functors and a theorem of R.G. Swan. Zbl 0122.03101 Hilton, Peter J.; Rees, D. 20 1961 On the homology theory of central group extensions. I: The commutator map and stem extensions. Zbl 0236.20038 Eckmann, Beno; Hilton, Peter J.; Stammbach, Urs 20 1972 On the Zeeman comparison theorem for the homology of quasi-nilpotent fibrations. Zbl 0342.55010 Hilton, Peter; Roitberg, Joseph 17 1976 Homology theory. An introduction to algebraic topology. Reprint. Zbl 0163.17803 Hilton, Peter J.; Wylie, S. 17 1967 Exact couples in an Abelian category. Zbl 0178.34306 Eckmann, Beno; Hilton, Peter J. 17 1966 On the genus of a nilpotent group with finite commutator subgroup. Zbl 0304.20017 Hilton, Peter; Mislin, Guido 17 1976 Correspondences and exact squares. Zbl 0192.10803 Hilton, Peter J. 16 1966 On the categorical shape of a functor. Zbl 0368.18002 Deleanu, Aristide; Hilton, Peter 16 1977 Borsuk shape and a generalization of Grothendieck’s definition of pro- category. Zbl 0327.18004 Deleanu, Aristide; Hilton, Peter 15 1976 Generalized Adams completion. Zbl 0291.18003 Deleanu, Aristide; Frei, Armin; Hilton, Peter 14 1974 Nilpotency and H-spaces. Zbl 0152.21901 Hilton, Peter J. 13 1965 Structure maps in group theory. Zbl 0104.01703 Eckmann, Beno; Hilton, Peter J. 12 1961 On join operations in homotopy groups. Zbl 0053.43403 Barratt, M. G.; Hilton, Peter J. 12 1953 Groupes d’homotopie et dualité. Groupes absolus. Zbl 0092.39901 Eckmann, Beno; Hilton, Peter J. 11 1958 Homotopical localization. Zbl 0259.55006 Hilton, Peter; Mislin, Guido; Roitberg, Joseph 11 1973 Homotopy groups of maps and exact sequences. Zbl 0099.17904 Eckmann, Beno; Hilton, Peter J. 10 1960 On excision and principal fibrations. Zbl 0107.16804 Hilton, Peter J. 10 1961 Unions and intersections in homotopy theory. Zbl 0126.38903 Eckmann, Beno; Hilton, Peter J. 10 1964 On the homology theory of central group extensions. II: The exact sequence in the general case. Zbl 0246.20041 Eckmann, Beno; Hilton, Peter; Stammbach, Urs 10 1972 Idempotent triples and completion. Zbl 0295.18001 Deleanu, Aristide; Frei, Armin; Hilton, Peter 10 1975 Note on the Whitehead product. Zbl 0052.19204 Hilton, Peter J.; Whitehead, J. H. C. 10 1953 Note on epimorphisms and monomorphisms in homotopy theory. Zbl 0565.55009 Hilton, Peter; Roitberg, Joseph 9 1984 On the homotopy-commutativity of loop-spaces and suspensions. Zbl 0109.41403 Ganea, T.; Hilton, Peter J.; Peterson, F. P. 9 1962 On central group extensions and homology. Zbl 0232.18011 Eckmann, B.; Hilton, P. J. 9 1971 Suspension theorems and the generalized Hopf invariant. Zbl 0045.12003 Hilton, Peter J. 9 1951 Commuting limits with colimits. Zbl 0164.01301 Eckmann, Beno; Hilton, Peter J. 8 1969 On Kan extensions of cohomology theories and Serre classes of groups. Zbl 0226.55011 Deleanu, Aristide; Hilton, Peter 8 1971 Introduction to the theory of categories and functors. With the collaboration of Peter J. Hilton. (Vvedenie v teoriju kategorii i funktorov. S predisloviem Pitera Hiltona.) Übersetzung aus dem Englischen von D. A. Raikov und V. S. Retah. Mit Anmerkungen von D. A. Raikov. Zbl 0239.18001 Bucur, Ion; Deleanu, Aristide 8 1972 On co-H-spaces. Zbl 0372.55009 Hilton, Peter; Mislin, Guido; Roitberg, Joseph 8 1978 On the homotopy groups of unions of spaces. Zbl 0064.17203 Hilton, Peter J. 7 1955 On the homology and homotopy decomposition of continuous maps. Zbl 0086.37402 Eckmann, Beno; Hilton, Peter J. 7 1959 On the Jordan-Hölder theorem in homological monoids. Zbl 0096.02301 Hilton, Peter J.; Ledermann, W. 7 1960 Generalized means. Zbl 0114.39501 Eckmann, Beno; Ganea, T.; Hilton, Peter J. 7 1962 A course in modern algebra. Zbl 0289.18001 Hilton, Peter; Wu, Yel-Chiang 7 1974 Localization of nilpotent spaces. Zbl 0302.55008 Hilton, Peter 7 1974 Calculating the Mislin genus for a certain family of nilpotent groups. Zbl 0742.20034 Casacuberta, Carles; Hilton, Peter 7 1991 On G-spaces. Zbl 0381.55007 Hilton, Peter 7 1976 Calculating the genus of a direct product of certain nilpotent groups. Zbl 0849.20021 Hilton, Peter; Scevenels, Dirk 6 1995 A comprehensive textbook of classical mathematics. A contemporary interpretation. Zbl 0188.00101 Griffiths, H. B.; Hilton, Peter J. 6 1970 Topological localization and nilpotent groups. Zbl 0255.55005 Hilton, Peter; Mislin, Guido; Roitberg, Joseph 6 1972 On torsion in the differentials of the Lyndon-Hochschild-Serre spectral sequence. Zbl 0285.20045 Hilton, Peter; Stammbach, Urs 6 1974 Nilpotent actions on nilpotent groups. Zbl 0305.20016 Hilton, Peter 6 1975 Structural stability, the theory of catastrophes, and applications in the sciences. Proceedings of the conference, held at Battelle Seattle Research Center 1975. Zbl 0322.00015 6 1976 Non-cancellation properties for certain finitely presented groups. Zbl 0621.20020 Hilton, Peter 6 1986 The two-square lemma. Zbl 0699.18003 Fay, Temple H.; Hardie, Keith A.; Hilton, Peter J. 6 1989 Extending the binomial coefficients to preserve symmetry and pattern. Zbl 0722.05006 Hilton, P.; Pedersen, J. 6 1989 On free maps and free homotopies into nilpotent spaces. Zbl 0389.55012 Hilton, Peter; Mislin, Guido; Roitberg, Joseph; Steiner, Richard 6 1978 Profinite completion and generalizations of a theorem of Blackburn. Zbl 0422.20027 Hilton, Peter; Roitberg, Joseph 6 1979 Relative epimorphisms and monomorphisms in homotopy theory. Zbl 0624.55005 Hilton, Peter; Roitberg, Joseph 6 1987 On a theorem of Schur. Zbl 1050.20021 Hilton, Peter 6 2001 General cohomology theory and \(K\)-theory. Course given at the University of São Paulo, Brazil in the summer of 1968. Zbl 1386.55001 Hilton, Peter 5 1971 Generalized C-theory and torsion phenomena in nilpotent spaces. Zbl 0342.55009 Hilton, Peter; Roitberg, Joseph 5 1976 Mathematical vistas. From a room with many windows. Zbl 1011.00001 Hilton, Peter; Holton, Derek; Pedersen, Jean 5 2002 On divisors and multiples of continuous maps. Zbl 0072.18003 Hilton, Peter J. 5 1956 On the decomposition of spaces in Cartesian products and unions. Zbl 0092.39801 Ganea, Tudor; Hilton, Peter J. 5 1959 Groupes d’homotopie et dualité. Suites exactes. Zbl 0092.40001 Eckmann, Beno; Hilton, Peter J. 5 1958 Groupes d’homotopie et dualité. Coefficients. Zbl 0092.40101 Eckmann, Beno; Hilton, Peter J. 5 1958 Décomposition homologique d’un polyèdre simplement connexe. Zbl 0092.40201 Eckmann, Beno; Hilton, Peter J. 5 1959 Note on free and direct products in general categories. Zbl 0109.25103 Hilton, Peter J. 5 1961 On the Grothendieck group of compact polyhedra. Zbl 0171.44202 Hilton, Peter J. 5 1967 Bicartesian squares of nilpotent groups. Zbl 0325.20031 Hilton, Peter; Mislin, Guido 5 1975 On the genus of nilpotent groups and spaces. Zbl 0602.20030 Hilton, Peter 5 1986 The ballot problem and Catalan numbers. Zbl 0714.05002 Hilton, Peter; Pedersen, Jean 5 1990 On Lucasian numbers. Zbl 0880.11020 Hilton, Peter; Pedersen, Jean; Somer, Lawrence 5 1997 Mathematics tomorrow. Zbl 0463.00034 5 1981 On the addition of relations in an abelian category. Zbl 0198.33901 Hilton, Peter J.; Wu, Y.-C. 5 1970 Relative nilpotent groups. Zbl 0489.20030 Hilton, Peter 4 1982 On pseudo-identities. I. Zbl 0525.20021 Hilton, Peter; Roitberg, Joseph 4 1983 Nilpotente Gruppen und nilpotente Räume. Nachdiplomvorlesung gehalten am Mathematik-Departement ETH Zürich 1981/82. (Aufzeichnungen von Markus Pfenniger.). Zbl 0549.55001 Hilton, Peter J. 4 1984 The Euler characteristic and Pólya’s dream. Zbl 0858.51006 Hilton, Peter; Pedersen, Jean 4 1996 A certain triple Whitehead product. Zbl 0055.41803 Hilton, Peter J. 4 1954 A note on the \(P\)-homomorphisms in homotopy groups of spheres. Zbl 0064.17302 Hilton, Peter J. 4 1955 On a generalization of nilpotency to semi-simplicial complexes. Zbl 0126.38902 Hilton, Peter J. 4 1960 Remark on loop spaces. Zbl 0127.13502 Hilton, Peter J. 4 1964 Note on principal \(S^ 3\)-bundles. Zbl 0162.27403 Hilton, Peter J.; Roitberg, J. 4 1968 Composition functors and spectral sequences. Zbl 0178.34401 Eckmann, Beno; Hilton, Peter J. 4 1966 On filtered systems of groups, colimits, and Kan extensions. Zbl 0217.06801 Hilton, P. J. 4 1971 Sphere bundles over spheres and non-cancellation phenomena. Zbl 0227.55016 Hilton, Peter; Mislin, Guido; Roitberg, Joseph 4 1971 Remark on Cech extensions of cohomology functors. Zbl 0232.55007 Deleanu, Aristide; Hilton, Peter 4 1970 Sphere bundles over spheres and non-cancellation phenomena. Zbl 0247.55014 Hilton, Peter; Mislin, Guido; Roitberg, Joseph 4 1972 Localization, homology and a construction of Adams. Zbl 0262.55008 Deleanu, Aristide; Hilton, Peter 4 1973 Localization of nilpotent spaces. Zbl 0327.55012 Hilton, Peter 4 1975 Groups with isomorphic homology groups and non-cancellation in homotopy theory. Zbl 0617.55003 Hilton, Peter 4 1987 The Turing guide. Edited by Jack Copeland, Jonathan Bowen, Mark Sprevak and Robin Wilson. Zbl 1382.68011 4 2017 Mathematics, models, and Magz. I: Patterns in Pascal’s triangle and tetrahedron. Zbl 1246.97021 Hilton, Peter; Pedersen, Jean 2 2012 A mathematical tapestry. Demonstrating the beautiful unity of mathematics. Zbl 1205.00004 Hilton, Peter; Pedersen, Jean 1 2010 Paper-folding, polygons, complete symbols, and the Euler totient function: an ongoing saga connecting geometry, algebra, and number theory. Zbl 1204.11005 Hilton, Peter; Pedersen, Jean; Walden, Byron 1 2008 A theory of PWD-structures. Zbl 1122.55004 Dula, Giora; Hilton, Peter; Marcum, Howard J. 1 2007 On variants of a theorem of Schur. Zbl 1087.20027 Hilton, Peter 1 2005 Foundations of Galois theory. Translated from the 1960 Russian original by Ann Swinfen. With a foreword by P. J. Hilton. Reprint of the 1962 edition. Zbl 1092.12005 Postnikov, M. M. 1 2004 On Pierce-like idempotents and Hopf invariants. Zbl 1036.55003 Dula, Giora; Hilton, Peter 1 2003 Mathematical vistas. From a room with many windows. Zbl 1011.00001 Hilton, Peter; Holton, Derek; Pedersen, Jean 5 2002 Lusternik-Schnirelmann category in homotopy theory. Zbl 1041.55002 Hilton, Peter 3 2002 Morphisms of Mislin genera induced by finite normal subgroups. Zbl 1038.20023 Hilton, P. J.; Witbooi, P. J. 2 2002 On a theorem of Schur. Zbl 1050.20021 Hilton, Peter 6 2001 On the Mislin genus of certain circle bundles and noncancellation. Zbl 1002.55009 Hilton, Peter; Scevenels, Dirk 2 2000 Reminiscences and reflections of a codebreaker. Zbl 0989.94501 Hilton, Peter 1 2000 A push-out construction for groups with operators. Zbl 0936.20024 Bokor, Imre; Hilton, Peter 1 1999 Calculating and interpreting the Mislin genus of a special class of nilpotent spaces. Zbl 0938.55019 Hilton, Peter; Scevenels, Dirk 1 1999 A course in homological algebra. 2nd ed. Zbl 0863.18001 Hilton, P. J.; Stammbach, U. 193 1997 On Lucasian numbers. Zbl 0880.11020 Hilton, Peter; Pedersen, Jean; Somer, Lawrence 5 1997 A new look at means on topological spaces. Zbl 0907.55010 Hilton, Peter 1 1997 The Euler characteristic and Pólya’s dream. Zbl 0858.51006 Hilton, Peter; Pedersen, Jean 4 1996 Non-cancellation phenomena in a class of finitely generated nilpotent groups. Zbl 0851.20031 Hilton, Peter; Schuck, Christopher 2 1996 On almost finitely generated nilpotent groups. Zbl 0852.20029 Hilton, Peter; Militello, Robert 1 1996 Calculating the genus of a direct product of certain nilpotent groups. Zbl 0849.20021 Hilton, Peter; Scevenels, Dirk 6 1995 On certain arithmetic properties of Fibonacci and Lucas numbers. Zbl 0838.11010 Hilton, Peter; Pedersen, Jean; Vrancken, Luc 1 1995 On induced morphisms of Mislin genera. Zbl 0832.20056 Hilton, Peter 3 1994 Euler’s theorem for polyhedra: A topologist and geometer respond (with a response from Grünbaum and Shephard). Zbl 0874.52005 Hilton, Peter; Pedersen, Jean 1 1994 On pairable and copairable morphisms. Zbl 0877.55005 Dula, Giora; Hilton, Peter 1 1994 On the structure of nilpotent groups of a certain type. Zbl 0794.20046 Hilton, P.; Schuck, Ch. 2 1993 On some contributions of Karol Borsuk to homotopy theory. Zbl 0782.01032 Hilton, P. 1 1993 Catalan numbers and paths in an integer lattice. (Catalan-Zahlen und Wege in einem ganzzahligen Gitter.) Zbl 0794.05004 Hilton, Peter J.; Pedersen, Jean 1 1993 A note on extensions of nilpotent groups. Zbl 0756.55009 Casacuberta, Carles; Hilton, Peter 2 1992 On nilpotent groups which are finitely generated at every prime. Zbl 0782.20030 Casacuberta, Carles; Hilton, Peter 2 1992 Some remarks on almost finitely generated nilpotent groups. Zbl 0826.20032 Hilton, Peter; Militello, Robert 1 1992 Calculating the genus of certain nilpotent groups. Zbl 0832.20055 Hilton, Peter; Schuck, Christopher 1 1992 Catalan numbers, their generalization, and their uses. Zbl 0767.05010 Hilton, Peter; Pedersen, Jean 106 1991 Calculating the Mislin genus for a certain family of nilpotent groups. Zbl 0742.20034 Casacuberta, Carles; Hilton, Peter 7 1991 Working with Alan Turing. Zbl 0742.01019 Hilton, Peter 1 1991 Eulerian numbers, pseudo-Eulerian coefficients, and weighted sums in Pascal’s triangle. Zbl 0766.11011 Carroll, Tim; Hilton, Peter; Pedersen, Jean 1 1991 The ballot problem and Catalan numbers. Zbl 0714.05002 Hilton, Peter; Pedersen, Jean 5 1990 Homotopies of nullhomotopies in a module category. I. Zbl 0726.55009 Hardie, Keith; Hilton, Peter 1 1990 The two-square lemma. Zbl 0699.18003 Fay, Temple H.; Hardie, Keith A.; Hilton, Peter J. 6 1989 Extending the binomial coefficients to preserve symmetry and pattern. Zbl 0722.05006 Hilton, P.; Pedersen, J. 6 1989 A course in modern algebra. Reprint of the 1974 original. Zbl 0719.18001 Hilton, Peter; Wu, Yel Chiang 2 1989 On the extended genus of finitely generated Abelian groups. Zbl 0672.20024 Casacuberta, Carles; Hilton, Peter 1 1989 On groups of pseudo-integers. Zbl 0682.20039 Hilton, Peter 3 1988 On the extended genus. Zbl 0682.20040 Hilton, Peter 1 1988 A brief, subjective history of homology and homotopy theory in this century. Zbl 0684.55001 Hilton, Peter 1 1988 Relative epimorphisms and monomorphisms in homotopy theory. Zbl 0624.55005 Hilton, Peter; Roitberg, Joseph 6 1987 Groups with isomorphic homology groups and non-cancellation in homotopy theory. Zbl 0617.55003 Hilton, Peter 4 1987 Looking into Pascal’s triangle: combinatorics, arithmetic, and geometry. Zbl 0718.05006 Hilton, Peter; Pedersen, Jean 3 1987 On the genus of groups with operators. Zbl 0608.20024 Hilton, Peter 2 1987 In mathematics there are no accidents. Zbl 0655.05003 Hilton, Peter; Pedersen, Jean; Ross, Peter 1 1987 The birth of homological algebra. Zbl 0618.55010 Hilton, Peter 1 1987 Non-cancellation properties for certain finitely presented groups. Zbl 0621.20020 Hilton, Peter 6 1986 On the genus of nilpotent groups and spaces. Zbl 0602.20030 Hilton, Peter 5 1986 The general quasi-order algorithm in number theory. Zbl 0592.10005 Hilton, Peter; Pedersen, Jean 1 1986 Folding regular star polygons and number theory. Zbl 0557.51006 Hilton, Peter; Pedersen, Jean 1 1985 On certain algorithms in the practice of geometry and the theory of numbers. Zbl 0583.51017 Hilton, Peter; Pedersen, Jean 1 1985 On all sorts of automorphisms. Zbl 0599.13007 Hilton, Peter 1 1985 Note on epimorphisms and monomorphisms in homotopy theory. Zbl 0565.55009 Hilton, Peter; Roitberg, Joseph 9 1984 Nilpotente Gruppen und nilpotente Räume. Nachdiplomvorlesung gehalten am Mathematik-Departement ETH Zürich 1981/82. (Aufzeichnungen von Markus Pfenniger.). Zbl 0549.55001 Hilton, Peter J. 4 1984 Regular polygons, star polygons and number theory. Zbl 0538.51018 Hilton, Peter; Pedersen, Jean 1 1984 On pseudo-identities. II. Zbl 0546.20025 Castellet, Manuel; Hilton, Peter; Roitberg, Joseph 1 1984 On special group-automorphisms and their composition. Zbl 0552.20016 Hilton, Peter 1 1984 On pseudo-identities. I. Zbl 0525.20021 Hilton, Peter; Roitberg, Joseph 4 1983 Approximating any regular polygon by folding paper. Zbl 0523.51019 Hilton, Peter; Pedersen, Jean 2 1983 Localization of crossed-modules. Zbl 0533.55007 Hilton, Peter 1 1983 Relative nilpotent groups. Zbl 0489.20030 Hilton, Peter 4 1982 Mathematics tomorrow. Zbl 0463.00034 5 1981 Descartes, Euler, Poincaré, Polya - and polyhedra. Zbl 0489.52009 Hilton, Peter; Pedersen, Jean 1 1981 Duality in homotopy theory: A retrospective essay. Zbl 0447.55005 Hilton, Peter 2 1980 On Postnikov-true families of complexes and the Adams completion. Zbl 0363.55003 Deleanu, Aristide; Hilton, Peter 1 1980 On a generalization of two exact sequences of Steiner. Zbl 0438.20024 Hilton, Peter; Roitberg, Joseph 1 1980 Profinite completion and generalizations of a theorem of Blackburn. Zbl 0422.20027 Hilton, Peter; Roitberg, Joseph 6 1979 On co-H-spaces. Zbl 0372.55009 Hilton, Peter; Mislin, Guido; Roitberg, Joseph 8 1978 On free maps and free homotopies into nilpotent spaces. Zbl 0389.55012 Hilton, Peter; Mislin, Guido; Roitberg, Joseph; Steiner, Richard 6 1978 A comprehensive textbook of classical mathematics. A contemporary interpretation. 2nd ed. Zbl 0391.00001 Griffiths, H. B.; Hilton, P. J. 3 1978 On orbit sets for group actions and localization. Zbl 0472.55007 Hilton, Peter 2 1978 On the categorical shape of a functor. Zbl 0368.18002 Deleanu, Aristide; Hilton, Peter 16 1977 Generalized shape theory. Zbl 0357.55019 Deleanu, Aristide; Hilton, Peter 1 1977 On the Zeeman comparison theorem for the homology of quasi-nilpotent fibrations. Zbl 0342.55010 Hilton, Peter; Roitberg, Joseph 17 1976 On the genus of a nilpotent group with finite commutator subgroup. Zbl 0304.20017 Hilton, Peter; Mislin, Guido 17 1976 Borsuk shape and a generalization of Grothendieck’s definition of pro- category. Zbl 0327.18004 Deleanu, Aristide; Hilton, Peter 15 1976 On G-spaces. Zbl 0381.55007 Hilton, Peter 7 1976 Structural stability, the theory of catastrophes, and applications in the sciences. Proceedings of the conference, held at Battelle Seattle Research Center 1975. Zbl 0322.00015 6 1976 Generalized C-theory and torsion phenomena in nilpotent spaces. Zbl 0342.55009 Hilton, Peter; Roitberg, Joseph 5 1976 On group actions on groups and associated series. Zbl 0366.20036 Hilton, Peter; Stammbach, Urs 2 1976 On localization and isolators. Zbl 0335.20018 Hilton, Peter; Stammbach, Urs 1 1976 Localization of nilpotent groups and spaces. Zbl 0323.55016 Hilton, Peter; Mislin, Guido; Roitberg, Joe 191 1975 Idempotent triples and completion. Zbl 0295.18001 Deleanu, Aristide; Frei, Armin; Hilton, Peter 10 1975 Nilpotent actions on nilpotent groups. Zbl 0305.20016 Hilton, Peter 6 1975 Bicartesian squares of nilpotent groups. Zbl 0325.20031 Hilton, Peter; Mislin, Guido 5 1975 Localization of nilpotent spaces. Zbl 0327.55012 Hilton, Peter 4 1975 Localization in topology. Zbl 0301.55006 Hilton, Peter 1 1975 Generalized Adams completion. Zbl 0291.18003 Deleanu, Aristide; Frei, Armin; Hilton, Peter 14 1974 A course in modern algebra. Zbl 0289.18001 Hilton, Peter; Wu, Yel-Chiang 7 1974 Localization of nilpotent spaces. Zbl 0302.55008 Hilton, Peter 7 1974 On torsion in the differentials of the Lyndon-Hochschild-Serre spectral sequence. Zbl 0285.20045 Hilton, Peter; Stammbach, Urs 6 1974 On direct limits of nilpotent groups. Zbl 0305.20015 Hilton, Peter 3 1974 Two remarks on the homology of group extensions. Zbl 0293.20042 Hilton, Peter; Stammbach, Urs 2 1974 ...and 113 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,694 Authors 61 Hilton, Peter John 23 Roitberg, Joseph 19 Félix, Yves 15 Lee, Dae-Woong 14 Arkowitz, Martin 13 Gonçalves, Daciberg Lima 13 Hardie, Keith A. 12 Stammbach, Urs 11 Baues, Hans-Joachim 11 Frei, Armin 11 Ladra González, Manuel 11 Yamaguchi, Toshihiro 10 Casacuberta, Carles 10 Casali, Maria Rita 10 Cavicchioli, Alberto 10 Golasiński, Marek 10 Huebschmann, Johannes 10 Lupton, Gregory M. 10 Papadima, Ștefan 10 Thomas, Jean-Claude 10 Witbooi, Peter Joseph 9 Castillo, Jesús M. F. 9 Deleanu, Aristide 9 Eckmann, Beno 9 Mislin, Guido 9 Nomura, Yasutoshi 8 Ellis, Graham J. 8 Gagliardi, Carlo 8 Grasselli, Luigi 8 Murillo-Mas, Aniceto 8 Pedersen, Jean J. 8 Porter, Timothy 8 Smith, Samuel Bruce 8 Stöhr, Ralph 8 Suciu, Alexander I. 7 Blanc, David Abraham 7 Casas Miras, José Manuel 7 Halperin, Stephen 7 Ivanov, Sergei Olegovich 7 Liao, Shijun 7 Marcum, Howard J. 7 Oda, Nobuyuki 7 Parshall, Brian J. 7 Scheerer, Hans 7 Stasheff, James D. 7 Wu, Jie 6 Buijs, Urtzi 6 Cabello Sánchez, Félix 6 Dydak, Jerzy 6 Farnsteiner, Rolf 6 Friedl, Stefan 6 Grandis, Marco 6 Hess, Kathryn P. 6 Kamps, Klaus Heiner 6 Kono, Akira 6 Lemaire, Jean-Michel 6 Lian, Bong H. 5 Anick, David J. 5 Bandieri, Paola 5 Costoya, Cristina 5 Drube, Paul 5 Iwase, Norio 5 James, Ioan Mackenzie 5 Kołodziejczyk, Danuta 5 Koparal, Sibel 5 Kopylov, Yaroslav Anatol’evich 5 Markl, Martin 5 Mikhaĭlov, Roman Valer’evich 5 Oprea, John F. 5 Siegmund Puppe, Dieter 5 R-Grandjeán, Alfredo 5 Remy, Pascal 5 Robinson, Derek J. S. 5 Rutter, John Westhead 5 Scevenels, Dirk 5 Shen, Wenhuai 5 Simsek, Yilmaz 5 Stanley, Donald 5 Tan, Youjun 5 Tsuchida, Kisuke 5 Xu, Fei 4 Baumslag, Gilbert 4 Bremner, Murray R. 4 Cristofori, Paola 4 Curtis, Morton L. 4 Dranishnikov, Alexander Nikolaevich 4 Dyer, Micheal N. 4 García, Ricardo 4 Geoghegan, Ross 4 Griffiths, H. Brian 4 Heath, Philip R. 4 Inassaridze, Nikoloz 4 Jiménez Benitez, Rolando 4 Kishimoto, Daisuke 4 Kropholler, Peter H. 4 Lorensen, Karl 4 Maruyama, Ken-ichi 4 McClendon, James F. 4 Muranov, Yuriĭ Vladimirovich 4 Omur, Nese ...and 1,594 more Authors all top 5 Cited in 331 Serials 158 Journal of Pure and Applied Algebra 104 Transactions of the American Mathematical Society 96 Topology and its Applications 85 Journal of Algebra 79 Proceedings of the American Mathematical Society 76 Mathematische Zeitschrift 39 Mathematische Annalen 37 Communications in Algebra 36 Advances in Mathematics 35 Cahiers de Topologie et Géométrie Différentielle Catégoriques 30 Archiv der Mathematik 27 Israel Journal of Mathematics 25 Discrete Mathematics 25 Manuscripta Mathematica 24 Inventiones Mathematicae 22 Mathematical Proceedings of the Cambridge Philosophical Society 21 Algebraic & Geometric Topology 17 Bulletin of the American Mathematical Society 14 Compositio Mathematica 14 Tôhoku Mathematical Journal. Second Series 14 Journal of Homotopy and Related Structures 13 Proceedings of the Edinburgh Mathematical Society. Series II 12 Communications in Mathematical Physics 10 Annales de l’Institut Fourier 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Rendiconti del Seminario Matematico della Università di Padova 10 Applied Categorical Structures 9 Journal of Mathematical Analysis and Applications 9 Duke Mathematical Journal 9 Geometry & Topology 8 Journal of Geometry and Physics 8 The Mathematical Intelligencer 8 Journal für die Reine und Angewandte Mathematik 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Quaestiones Mathematicae 8 Journal of Mathematical Sciences (New York) 7 Boletim da Sociedade Brasileira de Matemática 7 Journal of Number Theory 7 European Journal of Combinatorics 7 Linear Algebra and its Applications 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Glasgow Mathematical Journal 6 Journal of Functional Analysis 6 Kodai Mathematical Journal 6 Memoirs of the American Mathematical Society 6 Acta Applicandae Mathematicae 6 Forum Mathematicum 6 Aequationes Mathematicae 6 Expositiones Mathematicae 6 Theory and Applications of Categories 6 Algebras and Representation Theory 6 Cahiers de Topologie et Géométrie Différentielle Catégoriques 6 Journal of Algebra and its Applications 5 Computers & Mathematics with Applications 5 Journal of Mathematical Physics 5 Ukrainian Mathematical Journal 5 Acta Mathematica 5 Bulletin de la Société Mathématique de France 5 Czechoslovak Mathematical Journal 5 Geometriae Dedicata 5 Journal of Soviet Mathematics 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Semigroup Forum 5 Siberian Mathematical Journal 5 \(K\)-Theory 5 Differential Geometry and its Applications 5 Turkish Journal of Mathematics 5 The Electronic Journal of Combinatorics 5 Acta Mathematica Sinica. English Series 5 Mediterranean Journal of Mathematics 4 International Journal of Theoretical Physics 4 Mathematical Notes 4 Journal of Combinatorial Theory. Series B 4 Journal of Geometry 4 Journal of the London Mathematical Society. Second Series 4 Nagoya Mathematical Journal 4 Rendiconti del Seminario Matemàtico e Fisico di Milano 4 Advances in Applied Mathematics 4 Bulletin of the Korean Mathematical Society 4 Journal of Symbolic Computation 4 International Journal of Mathematics 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Algebraic Combinatorics 4 Selecta Mathematica. New Series 4 Documenta Mathematica 4 Representation Theory 4 Journal of Group Theory 4 Journal of Integer Sequences 4 Communications in Nonlinear Science and Numerical Simulation 4 Hacettepe Journal of Mathematics and Statistics 4 Proceedings of the Japan Academy 4 Groups, Geometry, and Dynamics 4 Journal of Topology and Analysis 4 Tbilisi Mathematical Journal 3 Bulletin of the Australian Mathematical Society 3 General Relativity and Gravitation 3 International Journal of Mathematical Education in Science and Technology 3 Letters in Mathematical Physics 3 Reports on Mathematical Physics 3 Rocky Mountain Journal of Mathematics ...and 231 more Serials all top 5 Cited in 59 Fields 680 Algebraic topology (55-XX) 345 Group theory and generalizations (20-XX) 329 Category theory; homological algebra (18-XX) 265 Manifolds and cell complexes (57-XX) 159 Associative rings and algebras (16-XX) 145 Combinatorics (05-XX) 125 Nonassociative rings and algebras (17-XX) 86 Number theory (11-XX) 85 Algebraic geometry (14-XX) 64 General topology (54-XX) 56 Differential geometry (53-XX) 52 Commutative algebra (13-XX) 45 Quantum theory (81-XX) 44 Global analysis, analysis on manifolds (58-XX) 43 Functional analysis (46-XX) 33 Topological groups, Lie groups (22-XX) 27 \(K\)-theory (19-XX) 25 Several complex variables and analytic spaces (32-XX) 24 Computer science (68-XX) 19 Mathematical logic and foundations (03-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 18 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 16 History and biography (01-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 16 Special functions (33-XX) 15 Field theory and polynomials (12-XX) 15 Ordinary differential equations (34-XX) 14 Convex and discrete geometry (52-XX) 12 General algebraic systems (08-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 General and overarching topics; collections (00-XX) 11 Real functions (26-XX) 11 Probability theory and stochastic processes (60-XX) 10 Functions of a complex variable (30-XX) 10 Geometry (51-XX) 10 Numerical analysis (65-XX) 10 Relativity and gravitational theory (83-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Operations research, mathematical programming (90-XX) 6 Systems theory; control (93-XX) 5 Difference and functional equations (39-XX) 5 Abstract harmonic analysis (43-XX) 5 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 4 Approximations and expansions (41-XX) 3 Measure and integration (28-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Mathematics education (97-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Sequences, series, summability (40-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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