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Hardie, Keith A.

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Author ID: hardie.keith-a Recent zbMATH articles by "Hardie, Keith A."
Published as: Hardie, K. A.; Hardie, Keith A.; Hardie, Keith
External Links: MGP
Documents Indexed: 93 Publications since 1960, including 1 Book
Reviewing Activity: 25 Reviews

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Citations contained in zbMATH Open

58 Publications have been cited 238 times in 156 Documents Cited by Year
Biframes and bispaces. Zbl 0513.06005
Banaschewski, B.; Brümmer, G. C. L.; Hardie, K. A.
31
1983
A homotopy 2-groupoid of a Hausdorff space. Zbl 0966.55010
Hardie, K. A.; Kamps, K. H.; Kieboom, R. W.
16
2000
A homotopy bigroupoid of a topological space. Zbl 0987.18006
Hardie, K. A.; Kamps, K. H.; Kieboom, R. W.
15
2001
A homotopy double groupoid of a Hausdorff space. Zbl 0986.18010
Brown, Ronald; Hardie, Keith A.; Kamps, Klaus Heiner; Porter, Timothy
11
2002
Higher Whitehead products. Zbl 0102.38402
Hardie, K. A.
10
1961
Toda brackets and the category of homotopy pairs. Zbl 0522.55011
Hardie, K. A.; Jansen, A. V.
9
1983
Homotopy theory of finite and locally finite \(T_ 0\) spaces. Zbl 0855.55010
Hardie, K. A.; Vermeulen, J. J. C.
9
1993
On a construction of E. A. Zeeman. Zbl 0096.37505
Hardie, K. A.
8
1960
Quasifibration and adjunction. Zbl 0207.53402
Hardie, K. A.
8
1970
A categorical approach to matrix Toda brackets. Zbl 0843.18004
Hardie, K. A.; Kamps, K. H.; Marcum, H. J.
7
1995
Bracket operations in the homotopy theory of a 2-category. Zbl 1005.18007
Hardie, K. A.; Marcum, H. J.; Oda, N.
6
2001
A nontrivial pairing of finite \(T_0\) spaces. Zbl 1018.55007
Hardie, K. A.; Vermeulen, J. J. C.; Witbooi, P. J.
6
2002
A note on fibrations and category. Zbl 0185.51103
Hardie, K. A.
6
1970
On the category of homotopy pairs. Zbl 0499.55002
Hardie, K. A.
5
1982
Bifunctors and the diagonal exact sequences of a cylinder-web diagram. Zbl 0399.18008
Hardie, K. A.
5
1979
On the Hopf-Toda invariant. Zbl 0133.16404
Hardie, K. A.
4
1964
The two-square lemma. Zbl 0699.18003
Fay, Temple H.; Hardie, Keith A.; Hilton, Peter J.
4
1989
Computing homotopy groups of a homotopy pullback. Zbl 0747.55010
Hardie, K. A.; Kamps, K. H.; Marcum, H.
3
1991
The coherent homotopy category over a fixed space is a category of fractions. Zbl 0751.55010
Hardie, K. A.; Kamps, K. H.; Porter, T.
3
1991
The Puppe and Nomura operators in the category of homotopy pairs. Zbl 0485.55010
Hardie, K. A.; Jansen, A. V.
3
1982
Coherent homotopy over a fixed space. Zbl 0864.55010
Hardie, K. A.; Kamps, K. H.
3
1995
The slash product homotopy operation. Zbl 0364.55005
Hardie, K. A.; Porter, G. J.
3
1977
Instances and ramifications of the semi-adjoint situation. I: Prestable reflection and symmetric unads. Zbl 0365.18008
Hardie, K. A.
3
1977
Exact sequence interlocking and free homotopy theory. Zbl 0574.55012
Hardie, K. A.; Kamps, K. H.
3
1985
Triple brackets and lax morphism categories. Zbl 1042.18005
Hardie, K. A.; Kamps, K. H.; Marcum, H. J.; Oda, N.
3
2004
The Toda bracket in the homotopy category of a track bicategory. Zbl 1020.18002
Hardie, K. A.; Kamps, K. H.; Marcum, H. J.
3
2002
Weak homotopy equivalence of P-functors. Zbl 0159.53103
Hardie, K. A.
3
1968
Homotopy of natural transformations. Zbl 0185.51102
Hardie, K. A.
3
1970
On cat \(^ 1X\). Zbl 0185.51201
Hardie, K. A.
3
1971
On the category of the double mapping cylinder. Zbl 0241.55015
Hardie, K. A.
3
1973
A proof of the Nakaoka-Toda formula. Zbl 0127.13406
Hardie, K. A.
3
1964
Track homotopy over a fixed space. Zbl 0687.55010
Hardie, K. A.; Kamps, K. H.
3
1989
Approximating the homotopy sequence of a pair of spaces. Zbl 0736.55010
Hardie, K. A.
2
1991
Toda brackets and the Hopf construction. I. Zbl 0313.55013
Hardie, K. A.
2
1974
A note on the category of the telescope. Zbl 0374.55005
Hardie, K. A.
2
1977
A non-Hausdorff quaternion multiplication. Zbl 1047.55006
Hardie, K. A.; Salbany, S.; Vermeulen, J. J. C.; Witbooi, P. J.
2
2003
Higher homotopy groupoids and Toda brackets. Zbl 1002.55011
Hardie, K. A.; Kamps, K. H.; Kieboom, R. W.
2
1999
A generalization of the Hopf construction. Zbl 0103.15902
Hardie, K. A.
2
1961
On composite loop functors. Zbl 0241.55012
Hardie, K. A.
2
1973
A characterization of topological functors. Zbl 0429.18003
Fay, T. H.; Brümmer, G. C. L.; Hardie, K. A.
1
1979
An exact sequence in pair-homotopy. Zbl 0447.55006
Hardie, K. A.
1
1979
Exact sequences in stable homotopy pair theory. Zbl 0527.55021
Hardie, K. A.; Jansen, A. V.
1
1984
On cup-one and Toda bracket. Zbl 0803.55004
Hardie, K. A.; Mahowald, M. E.
1
1993
A twisted triple category of track commutative cubes. Zbl 1069.55009
Hardie, K. A.; Kamps, K. H.
1
2004
A 2-groupoid characterisation of the cubical homotopy pushout. Zbl 1070.55008
Hardie, K. A.; Kamps, K. H.; Witbooi, P. J.
1
2004
Reduced product objects in model categories. Zbl 1082.55011
Hardie, K. A.; Witbooi, P. J.
1
2005
Homotopy pairs in Eckmann-Hilton duality. Zbl 0544.55015
Hardie, K. A.
1
1983
The Whitehead products and powers in \(W\)-topology. Zbl 1014.55004
Hardie, K. A.; Marcum, H. J.; Oda, N.
1
2003
Note on the Hopf-James invariants. Zbl 0101.15903
Hardie, K. A.
1
1961
On the kernel of suspension. Zbl 0107.40502
Hardie, K. A.
1
1962
The self-equivalence groups in certain coherent homotopy categories. Zbl 0883.55011
Baues, H. J.; Hardie, K. A.; Kamps, K. H.
1
1997
The Kleisli category is a category of fractions. Zbl 1039.18003
Giuli, E.; Hardie, K. A.; Vermeulen, J. J. C.
1
2002
Crown multiplications and a higher order Hopf construction. Zbl 1134.06002
Hardie, K. A.; Witbooi, P. J.
1
2007
The Whitehead square of the 6-point 2-sphere. Zbl 1100.55002
Hardie, K. A.; Witbooi, P. J.
1
2006
A note on products of the Whitehead type. Zbl 0683.55007
Hardie, K. A.
1
1988
Bivariant long exact sequences. II. Zbl 0694.18009
Fay, T. H.; Hardie, K. A.
1
1989
A Whitehead product for track groups. II. Zbl 0725.55010
Hardie, K. A.; Jansen, A. V.
1
1989
Homotopies of nullhomotopies in a module category. I. Zbl 0726.55009
Hardie, Keith; Hilton, Peter
1
1990
Crown multiplications and a higher order Hopf construction. Zbl 1134.06002
Hardie, K. A.; Witbooi, P. J.
1
2007
The Whitehead square of the 6-point 2-sphere. Zbl 1100.55002
Hardie, K. A.; Witbooi, P. J.
1
2006
Reduced product objects in model categories. Zbl 1082.55011
Hardie, K. A.; Witbooi, P. J.
1
2005
Triple brackets and lax morphism categories. Zbl 1042.18005
Hardie, K. A.; Kamps, K. H.; Marcum, H. J.; Oda, N.
3
2004
A twisted triple category of track commutative cubes. Zbl 1069.55009
Hardie, K. A.; Kamps, K. H.
1
2004
A 2-groupoid characterisation of the cubical homotopy pushout. Zbl 1070.55008
Hardie, K. A.; Kamps, K. H.; Witbooi, P. J.
1
2004
A non-Hausdorff quaternion multiplication. Zbl 1047.55006
Hardie, K. A.; Salbany, S.; Vermeulen, J. J. C.; Witbooi, P. J.
2
2003
The Whitehead products and powers in \(W\)-topology. Zbl 1014.55004
Hardie, K. A.; Marcum, H. J.; Oda, N.
1
2003
A homotopy double groupoid of a Hausdorff space. Zbl 0986.18010
Brown, Ronald; Hardie, Keith A.; Kamps, Klaus Heiner; Porter, Timothy
11
2002
A nontrivial pairing of finite \(T_0\) spaces. Zbl 1018.55007
Hardie, K. A.; Vermeulen, J. J. C.; Witbooi, P. J.
6
2002
The Toda bracket in the homotopy category of a track bicategory. Zbl 1020.18002
Hardie, K. A.; Kamps, K. H.; Marcum, H. J.
3
2002
The Kleisli category is a category of fractions. Zbl 1039.18003
Giuli, E.; Hardie, K. A.; Vermeulen, J. J. C.
1
2002
A homotopy bigroupoid of a topological space. Zbl 0987.18006
Hardie, K. A.; Kamps, K. H.; Kieboom, R. W.
15
2001
Bracket operations in the homotopy theory of a 2-category. Zbl 1005.18007
Hardie, K. A.; Marcum, H. J.; Oda, N.
6
2001
A homotopy 2-groupoid of a Hausdorff space. Zbl 0966.55010
Hardie, K. A.; Kamps, K. H.; Kieboom, R. W.
16
2000
Higher homotopy groupoids and Toda brackets. Zbl 1002.55011
Hardie, K. A.; Kamps, K. H.; Kieboom, R. W.
2
1999
The self-equivalence groups in certain coherent homotopy categories. Zbl 0883.55011
Baues, H. J.; Hardie, K. A.; Kamps, K. H.
1
1997
A categorical approach to matrix Toda brackets. Zbl 0843.18004
Hardie, K. A.; Kamps, K. H.; Marcum, H. J.
7
1995
Coherent homotopy over a fixed space. Zbl 0864.55010
Hardie, K. A.; Kamps, K. H.
3
1995
Homotopy theory of finite and locally finite \(T_ 0\) spaces. Zbl 0855.55010
Hardie, K. A.; Vermeulen, J. J. C.
9
1993
On cup-one and Toda bracket. Zbl 0803.55004
Hardie, K. A.; Mahowald, M. E.
1
1993
Computing homotopy groups of a homotopy pullback. Zbl 0747.55010
Hardie, K. A.; Kamps, K. H.; Marcum, H.
3
1991
The coherent homotopy category over a fixed space is a category of fractions. Zbl 0751.55010
Hardie, K. A.; Kamps, K. H.; Porter, T.
3
1991
Approximating the homotopy sequence of a pair of spaces. Zbl 0736.55010
Hardie, K. A.
2
1991
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.
4
1989
Track homotopy over a fixed space. Zbl 0687.55010
Hardie, K. A.; Kamps, K. H.
3
1989
Bivariant long exact sequences. II. Zbl 0694.18009
Fay, T. H.; Hardie, K. A.
1
1989
A Whitehead product for track groups. II. Zbl 0725.55010
Hardie, K. A.; Jansen, A. V.
1
1989
A note on products of the Whitehead type. Zbl 0683.55007
Hardie, K. A.
1
1988
Exact sequence interlocking and free homotopy theory. Zbl 0574.55012
Hardie, K. A.; Kamps, K. H.
3
1985
Exact sequences in stable homotopy pair theory. Zbl 0527.55021
Hardie, K. A.; Jansen, A. V.
1
1984
Biframes and bispaces. Zbl 0513.06005
Banaschewski, B.; Brümmer, G. C. L.; Hardie, K. A.
31
1983
Toda brackets and the category of homotopy pairs. Zbl 0522.55011
Hardie, K. A.; Jansen, A. V.
9
1983
Homotopy pairs in Eckmann-Hilton duality. Zbl 0544.55015
Hardie, K. A.
1
1983
On the category of homotopy pairs. Zbl 0499.55002
Hardie, K. A.
5
1982
The Puppe and Nomura operators in the category of homotopy pairs. Zbl 0485.55010
Hardie, K. A.; Jansen, A. V.
3
1982
Bifunctors and the diagonal exact sequences of a cylinder-web diagram. Zbl 0399.18008
Hardie, K. A.
5
1979
A characterization of topological functors. Zbl 0429.18003
Fay, T. H.; Brümmer, G. C. L.; Hardie, K. A.
1
1979
An exact sequence in pair-homotopy. Zbl 0447.55006
Hardie, K. A.
1
1979
The slash product homotopy operation. Zbl 0364.55005
Hardie, K. A.; Porter, G. J.
3
1977
Instances and ramifications of the semi-adjoint situation. I: Prestable reflection and symmetric unads. Zbl 0365.18008
Hardie, K. A.
3
1977
A note on the category of the telescope. Zbl 0374.55005
Hardie, K. A.
2
1977
Toda brackets and the Hopf construction. I. Zbl 0313.55013
Hardie, K. A.
2
1974
On the category of the double mapping cylinder. Zbl 0241.55015
Hardie, K. A.
3
1973
On composite loop functors. Zbl 0241.55012
Hardie, K. A.
2
1973
On cat \(^ 1X\). Zbl 0185.51201
Hardie, K. A.
3
1971
Quasifibration and adjunction. Zbl 0207.53402
Hardie, K. A.
8
1970
A note on fibrations and category. Zbl 0185.51103
Hardie, K. A.
6
1970
Homotopy of natural transformations. Zbl 0185.51102
Hardie, K. A.
3
1970
Weak homotopy equivalence of P-functors. Zbl 0159.53103
Hardie, K. A.
3
1968
On the Hopf-Toda invariant. Zbl 0133.16404
Hardie, K. A.
4
1964
A proof of the Nakaoka-Toda formula. Zbl 0127.13406
Hardie, K. A.
3
1964
On the kernel of suspension. Zbl 0107.40502
Hardie, K. A.
1
1962
Higher Whitehead products. Zbl 0102.38402
Hardie, K. A.
10
1961
A generalization of the Hopf construction. Zbl 0103.15902
Hardie, K. A.
2
1961
Note on the Hopf-James invariants. Zbl 0101.15903
Hardie, K. A.
1
1961
On a construction of E. A. Zeeman. Zbl 0096.37505
Hardie, K. A.
8
1960
all top 5

Cited by 146 Authors

26 Hardie, Keith A.
11 Baues, Hans-Joachim
9 Kamps, Klaus Heiner
9 Marcum, Howard J.
8 Picado, Jorge
7 Schauerte, Anneliese
6 Witbooi, Peter Joseph
5 Frith, John L.
5 Martins, João Nuno Goncalves Faria
4 Blanc, David Abraham
4 Moshier, M. Andrew
4 Oda, Nobuyuki
4 Picken, Roger F.
4 Pultr, Aleš
3 Brümmer, Guillaume C. L.
3 Grandis, Marco
3 Iwase, Norio
3 Jung, Achim
3 Klinke, Olaf Karl
3 Meyer, Jean-Pierre
3 Tholen, Walter
2 Abramyan, Semyon A.
2 Banaschewski, Bernhard
2 Barmak, Jonathan Ariel
2 Brown, Ronald
2 Cegarra, Antonio Martínez
2 Chen, Jixiang
2 De Melo, Thiago
2 Ferreira, Maria João
2 Fletcher, Peter
2 Golasiński, Marek
2 Gutiérrez García, Javier
2 Heredia, Benjamín A.
2 Hunsaker, Worthen N.
2 Jansen, A. V.
2 Lindgren, William F.
2 Minian, Elias Gabriel
2 Paoli, Simona
2 Sakai, Michihiro
2 Strom, Jeffrey A.
2 Tanaka, Kohei
2 Vermeulen, J. J. C.
1 Achar, Pramod N.
1 Adamaszek, Michal
1 Ando, Hideo
1 Baez, John C.
1 Bakier, M. Y.
1 Bezhanishvili, Guram
1 Bloom, Samuel
1 Brahic, Olivier
1 Chatterjee, Saikat
1 Cherenack, Paul
1 Cianci, Nicolás
1 Cornea, Octav
1 Couprie, Michel
1 Courser, Kenny
1 Cuvilliez, Maxence
1 Datuashvili, Tamar
1 Dokuchaev, Mikhailo
1 Dranishnikov, Alexander Nikolaevich
1 El-Saady, Kamal
1 Elgueta, Josep
1 End, Werner
1 Ertürk, Rıza
1 Fay, Temple H.
1 Félix, Yves
1 Franc, Aleksandra
1 Frankland, Martin
1 Fuchs, Dmitry Borisovich
1 Generalov, Aleksandr Ivanovich
1 Giuli, Eraldo
1 Gohla, Björn
1 Gondhali, Shilpa
1 Goubault, Eric
1 Greve, Georg
1 Gurski, Nick
1 Halperin, Stephen
1 Hardy, Lew
1 Henderson, Anthony
1 Herrlich, Horst
1 Hesse, Jan
1 Hilton, Peter John
1 Jurčo, Branislav
1 Katz, Mikhail G.
1 Kieboom, Rudger W.
1 Kono, Akira
1 Kopylov, Yaroslav Anatol’evich
1 Korkmaz, Esra
1 Korostenski, Mareli
1 Larose, Benoit
1 Lawson, Jimmie Don
1 Lawson, Tyler Douglas
1 Mackaay, Marco
1 Mahowald, Mark Edward
1 Manuell, Graham R.
1 Martsinkovsky, Alex
1 Massey, William S.
1 Mazo, Loïc
1 Mimram, Samuel
1 Mimura, Mamoru
...and 46 more Authors
all top 5

Cited in 55 Serials

23 Topology and its Applications
16 Applied Categorical Structures
11 Journal of Pure and Applied Algebra
11 Quaestiones Mathematicae
7 Advances in Mathematics
7 Transactions of the American Mathematical Society
6 Cahiers de Topologie et Géométrie Différentielle Catégoriques
6 Journal of Homotopy and Related Structures
5 Mathematische Zeitschrift
4 Proceedings of the American Mathematical Society
3 Algebraic & Geometric Topology
2 Communications in Algebra
2 Algebra Universalis
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Glasgow Mathematical Journal
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Theoretical Computer Science
2 Tohoku Mathematical Journal. Second Series
2 \(K\)-Theory
2 Acta Mathematica Sinica. New Series
2 Theory and Applications of Categories
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Journal of Geometry and Physics
1 Archiv der Mathematik
1 Compositio Mathematica
1 Fundamenta Mathematicae
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Combinatorial Theory. Series A
1 Journal of the Mathematical Society of Japan
1 Journal of Number Theory
1 Journal of Soviet Mathematics
1 Monatshefte für Mathematik
1 Siberian Mathematical Journal
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Order
1 Discrete & Computational Geometry
1 Differential Geometry and its Applications
1 MSCS. Mathematical Structures in Computer Science
1 Expositiones Mathematicae
1 Journal of Mathematical Sciences (New York)
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Representation Theory
1 Geometry & Topology
1 Journal of High Energy Physics
1 The Journal of Logic and Algebraic Programming
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 International Journal of Geometric Methods in Modern Physics
1 Proceedings of the Steklov Institute of Mathematics
1 Logical Methods in Computer Science
1 European Journal of Pure and Applied Mathematics
1 Journal of \(K\)-Theory
1 Journal of Siberian Federal University. Mathematics & Physics

Citations by Year