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Rourke, Colin P.

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Author ID: rourke.colin-p Recent zbMATH articles by "Rourke, Colin P."
Published as: Rourke, C.; Rourke, C. P.; Rourke, Colin; Rourke, Colin P.
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Documents Indexed: 65 Publications since 1966, including 5 Books

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 1,286 times in 1,018 Documents Cited by Year
Introduction to piecewise-linear topology. Zbl 0254.57010
Rourke, C. P.; Sanderson, B. J.
287
1972
Racks and links in codimension two. Zbl 0787.57003
Fenn, Roger; Rourke, Colin
177
1992
Introduction to piecewise-linear topology. Revised reprint of the 1972 original. Zbl 0477.57003
Rourke, C. P.; Sanderson, B. J.
90
1982
Trunks and classifying spaces. Zbl 0853.55021
Fenn, Roger; Rourke, Colin; Sanderson, Brian
87
1995
The braid-permutation group. Zbl 0861.57010
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
65
1997
\(\Delta\)-sets. I: Homotopy theory. Zbl 0226.55019
Rourke, C. P.; Sanderson, B. J.
55
1971
James bundles. Zbl 1055.55005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
49
2004
On Kirby’s calculus of links. Zbl 0413.57006
Fenn, Roger; Rourke, Colin
44
1979
A geometric approach to homology theory. Zbl 0315.55002
Buoncristiano, S.; Rourke, C. P.; Sanderson, B. J.
39
1976
The rack space. Zbl 1123.55006
Fenn, Roger; Rourke, Colin; Sanderson, Brian
31
2007
Ordering the braid groups. Zbl 1009.20042
Fenn, R.; Greene, M. T.; Rolfsen, D.; Rourke, C.; Wiest, B.
28
1999
On the Kervaire obstruction. Zbl 0227.57012
Rourke, C. P.; Sullivan, D. P.
25
1971
Markov’s theorem in 3-manifolds. Zbl 0879.57007
Lambropoulou, Sofia; Rourke, Colin P.
24
1997
The compression theorem I. Zbl 1002.57057
Rourke, Colin; Sanderson, Brian
23
2001
Block bundles. II: Transversality. Zbl 0215.52301
Rourke, C. P.; Sanderson, B. J.
23
1968
An introduction to species and the rack space. Zbl 0828.57005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
22
1993
Block bundles. Zbl 0215.52204
Rourke, C. P.; Sanderson, B. J.
20
1968
The singular baid monoid embeds in a group. Zbl 0971.57011
Fenn, Roger; Keyman, Ebru; Rourke, Colin
16
1998
On topological neighbourhoods. Zbl 0218.57005
Rourke, C. P.; Sanderson, B. J.
13
1970
Algebraic Markov equivalence for links in three-manifolds. Zbl 1156.57007
Lambropoulou, S.; Rourke, C. P.
12
2006
A new proof that \(\Omega _ 3\) is zero. Zbl 0585.57012
Rourke, Colin
10
1985
Block bundles. III: Homotopy theory. Zbl 0215.52302
Rourke, C. P.; Sanderson, B. J.
10
1968
An embedding without a normal microbundle. Zbl 0168.44602
Rourke, C. P.; Sanderson, B. J.
10
1967
The compression theorem II: directed embeddings. Zbl 1032.57028
Rourke, Colin; Sanderson, Brian
9
2001
Order automatic mapping class groups. Zbl 1016.57015
Rourke, Colin; Wiest, Bert
9
2000
Presentations and the trivial group. Zbl 0408.57001
Rourke, C. P.
9
1979
A new approach to immersion theory. Zbl 0951.57014
Rourke, Colin; Sanderson, Brian
8
1999
Klyachko’s methods and the solution of equations over torsion-free groups. Zbl 0861.20029
Fenn, Roger; Rourke, Colin
8
1996
The compression theorem III: Applications. Zbl 1032.57029
Rourke, Colin; Sanderson, Brian
7
2003
The homotopy type of homeomorphisms of 3-manifolds. Zbl 0442.58007
César de Sá, Eugénia; Rourke, Colin
7
1979
The existence of combinatorial formulae for characteristic classes. Zbl 0382.55010
Levitt, Norman; Rourke, Colin
7
1978
\(\Delta\)-sets. II: Block bundles and block fibrations. Zbl 0226.55020
Rourke, C. P.; Sanderson, B. J.
7
1971
The surjectivity problem for one-generator, one-relator extensions of torsion-free groups. Zbl 1014.20015
Cohen, Marshall M.; Rourke, Colin
5
2001
Some remarks on the braid-permutation group. Zbl 0830.57005
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
5
1993
Block structures in geometric and algebraic topology. Zbl 0245.57009
Rourke, C. P.
5
1971
Equivariant configuration spaces. Zbl 1024.55009
Rourke, Colin; Sanderson, Brian
4
2000
Characterisation of a class of equations with solutions over torsion-free groups. Zbl 0913.20018
Fenn, Roger; Rourke, Colin
4
1998
Heegaard diagrams and homotopy 3-spheres. Zbl 0646.57006
Rêgo, Eduardo; Rourke, Colin
4
1988
Block bundles. Zbl 0147.42501
Rourke, C. P.; Sanderson, B. J.
4
1966
Homology stratifications and intersection homology. Zbl 0947.55008
Rourke, Colin; Sanderson, Brian
3
1999
Representing homology classes. Zbl 0266.55004
Rourke, C. P.
3
1973
What is a welded link? Zbl 1202.57011
Rourke, Colin
2
2007
The Hauptvermutung book. A collection of papers of the topology of manifolds. Zbl 0853.00012
Ranicki, A. A. (ed.); Casson, A. J. (ed.); Sullivan, D. P. (ed.); Armstrong, M. A. (ed.); Rourke, C. P. (ed.); Cooke, G. E. (ed.)
2
1996
Nice spines of 3-manifolds. Zbl 0406.57002
Fenn, Roger; Rourke, Colin
2
1979
Embedded handle theory, concordance and isotopy. Zbl 0281.57023
Rourke, C. P.
2
1971
Decompositions and the relative tubular neighbourhood conjecture. Zbl 0213.25004
Rourke, C. P.; Sanderson, B. J.
2
1970
A fixed-point theorem and relative asphericity. Zbl 1112.55003
Forester, Max; Rourke, Colin
1
2005
Diagrams and the second homotopy group. Zbl 1096.55008
Forester, Max; Rourke, Colin
1
2005
Algorithms to disprove the Poincaré conjecture. Zbl 0906.57006
Rourke, Colin
1
1997
Characterisation of the three sphere following Haken. Zbl 0867.57010
Rourke, Colin
1
1994
Free involutions on homotopy \((4k+3)\)-spheres. Zbl 0159.53901
Orlik, P.; Rourke, C. P.
1
1968
Improper embeddings of P.L. spheres and balls. Zbl 0168.21501
Rourke, C. P.
1
1967
A note on complementary spines. Zbl 0149.20904
Rourke, C. P.
1
1967
Covering the track of an isotopy. Zbl 0149.20903
Rourke, C. P.
1
1967
The rack space. Zbl 1123.55006
Fenn, Roger; Rourke, Colin; Sanderson, Brian
31
2007
What is a welded link? Zbl 1202.57011
Rourke, Colin
2
2007
Algebraic Markov equivalence for links in three-manifolds. Zbl 1156.57007
Lambropoulou, S.; Rourke, C. P.
12
2006
A fixed-point theorem and relative asphericity. Zbl 1112.55003
Forester, Max; Rourke, Colin
1
2005
Diagrams and the second homotopy group. Zbl 1096.55008
Forester, Max; Rourke, Colin
1
2005
James bundles. Zbl 1055.55005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
49
2004
The compression theorem III: Applications. Zbl 1032.57029
Rourke, Colin; Sanderson, Brian
7
2003
The compression theorem I. Zbl 1002.57057
Rourke, Colin; Sanderson, Brian
23
2001
The compression theorem II: directed embeddings. Zbl 1032.57028
Rourke, Colin; Sanderson, Brian
9
2001
The surjectivity problem for one-generator, one-relator extensions of torsion-free groups. Zbl 1014.20015
Cohen, Marshall M.; Rourke, Colin
5
2001
Order automatic mapping class groups. Zbl 1016.57015
Rourke, Colin; Wiest, Bert
9
2000
Equivariant configuration spaces. Zbl 1024.55009
Rourke, Colin; Sanderson, Brian
4
2000
Ordering the braid groups. Zbl 1009.20042
Fenn, R.; Greene, M. T.; Rolfsen, D.; Rourke, C.; Wiest, B.
28
1999
A new approach to immersion theory. Zbl 0951.57014
Rourke, Colin; Sanderson, Brian
8
1999
Homology stratifications and intersection homology. Zbl 0947.55008
Rourke, Colin; Sanderson, Brian
3
1999
The singular baid monoid embeds in a group. Zbl 0971.57011
Fenn, Roger; Keyman, Ebru; Rourke, Colin
16
1998
Characterisation of a class of equations with solutions over torsion-free groups. Zbl 0913.20018
Fenn, Roger; Rourke, Colin
4
1998
The braid-permutation group. Zbl 0861.57010
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
65
1997
Markov’s theorem in 3-manifolds. Zbl 0879.57007
Lambropoulou, Sofia; Rourke, Colin P.
24
1997
Algorithms to disprove the Poincaré conjecture. Zbl 0906.57006
Rourke, Colin
1
1997
Klyachko’s methods and the solution of equations over torsion-free groups. Zbl 0861.20029
Fenn, Roger; Rourke, Colin
8
1996
The Hauptvermutung book. A collection of papers of the topology of manifolds. Zbl 0853.00012
Ranicki, A. A. (ed.); Casson, A. J. (ed.); Sullivan, D. P. (ed.); Armstrong, M. A. (ed.); Rourke, C. P. (ed.); Cooke, G. E. (ed.)
2
1996
Trunks and classifying spaces. Zbl 0853.55021
Fenn, Roger; Rourke, Colin; Sanderson, Brian
87
1995
Characterisation of the three sphere following Haken. Zbl 0867.57010
Rourke, Colin
1
1994
An introduction to species and the rack space. Zbl 0828.57005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
22
1993
Some remarks on the braid-permutation group. Zbl 0830.57005
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
5
1993
Racks and links in codimension two. Zbl 0787.57003
Fenn, Roger; Rourke, Colin
177
1992
Heegaard diagrams and homotopy 3-spheres. Zbl 0646.57006
Rêgo, Eduardo; Rourke, Colin
4
1988
A new proof that \(\Omega _ 3\) is zero. Zbl 0585.57012
Rourke, Colin
10
1985
Introduction to piecewise-linear topology. Revised reprint of the 1972 original. Zbl 0477.57003
Rourke, C. P.; Sanderson, B. J.
90
1982
On Kirby’s calculus of links. Zbl 0413.57006
Fenn, Roger; Rourke, Colin
44
1979
Presentations and the trivial group. Zbl 0408.57001
Rourke, C. P.
9
1979
The homotopy type of homeomorphisms of 3-manifolds. Zbl 0442.58007
César de Sá, Eugénia; Rourke, Colin
7
1979
Nice spines of 3-manifolds. Zbl 0406.57002
Fenn, Roger; Rourke, Colin
2
1979
The existence of combinatorial formulae for characteristic classes. Zbl 0382.55010
Levitt, Norman; Rourke, Colin
7
1978
A geometric approach to homology theory. Zbl 0315.55002
Buoncristiano, S.; Rourke, C. P.; Sanderson, B. J.
39
1976
Representing homology classes. Zbl 0266.55004
Rourke, C. P.
3
1973
Introduction to piecewise-linear topology. Zbl 0254.57010
Rourke, C. P.; Sanderson, B. J.
287
1972
\(\Delta\)-sets. I: Homotopy theory. Zbl 0226.55019
Rourke, C. P.; Sanderson, B. J.
55
1971
On the Kervaire obstruction. Zbl 0227.57012
Rourke, C. P.; Sullivan, D. P.
25
1971
\(\Delta\)-sets. II: Block bundles and block fibrations. Zbl 0226.55020
Rourke, C. P.; Sanderson, B. J.
7
1971
Block structures in geometric and algebraic topology. Zbl 0245.57009
Rourke, C. P.
5
1971
Embedded handle theory, concordance and isotopy. Zbl 0281.57023
Rourke, C. P.
2
1971
On topological neighbourhoods. Zbl 0218.57005
Rourke, C. P.; Sanderson, B. J.
13
1970
Decompositions and the relative tubular neighbourhood conjecture. Zbl 0213.25004
Rourke, C. P.; Sanderson, B. J.
2
1970
Block bundles. II: Transversality. Zbl 0215.52301
Rourke, C. P.; Sanderson, B. J.
23
1968
Block bundles. Zbl 0215.52204
Rourke, C. P.; Sanderson, B. J.
20
1968
Block bundles. III: Homotopy theory. Zbl 0215.52302
Rourke, C. P.; Sanderson, B. J.
10
1968
Free involutions on homotopy \((4k+3)\)-spheres. Zbl 0159.53901
Orlik, P.; Rourke, C. P.
1
1968
An embedding without a normal microbundle. Zbl 0168.44602
Rourke, C. P.; Sanderson, B. J.
10
1967
Improper embeddings of P.L. spheres and balls. Zbl 0168.21501
Rourke, C. P.
1
1967
A note on complementary spines. Zbl 0149.20904
Rourke, C. P.
1
1967
Covering the track of an isotopy. Zbl 0149.20903
Rourke, C. P.
1
1967
Block bundles. Zbl 0147.42501
Rourke, C. P.; Sanderson, B. J.
4
1966
all top 5

Cited by 986 Authors

34 Nelson, Sam
22 Kamada, Seiichi
21 Saito, Masahico
18 Carter, J. Scott
18 Przytycki, Józef H.
16 Kauffman, Louis Hirsch
12 Bardakov, Valeriĭ Georgievich
12 Lebed, Victoria
12 Oshiro, Kanako
12 Repovš, Dušan D.
11 Elhamdadi, Mohamed
11 Lambropoulou, Sofia S. F.
11 Rourke, Colin P.
10 Cavicchioli, Alberto
10 Dehornoy, Patrick
10 Nosaka, Takefumi
10 Skopenkov, Arkadiĭ Borisovich
9 Gagliardi, Carlo
9 Kwasik, Sławomir
9 Satoh, Shin
8 Fenn, Roger A.
8 Niebrzydowski, Maciej
8 Sanderson, Brian J.
7 Bryant, John Logan
7 Grasselli, Luigi
7 Guilbault, Craig R.
7 Horvat, Eva
7 Marra, Vincenzo
7 Melikhov, Sergey Aleksandrovich
7 Mundici, Daniele
6 Adiprasito, Karim Alexander
6 Bellingeri, Paolo
6 Casali, Maria Rita
6 Ito, Tetsuya
6 Quintero, Antonio
6 Rump, Wolfgang
6 Turaev, Vladimir G.
6 Wiest, Bertold
5 Ayala, Rafael
5 Bandieri, Paola
5 Benedetti, Riccardo
5 Buoncristiano, Sandro
5 Clark, W. Edwin
5 Crans, Alissa S.
5 Domínguez, Eladio
5 Ferri, Massimo
5 Francés, Angel R.
5 Ishii, Atsushi
5 Iwakiri, Masahide
5 Jelsovsky, Daniel
5 Kamada, Naoko
5 Levitt, Norman
5 Madsen, Ib Henning
5 Manturov, Vassiliĭ Olegovich
5 Nasybullov, Timur Rinatovich
5 Petronio, Carlo
5 Schultz, Reinhard E.
5 Siebenmann, Laurence C.
5 Tanaka, Kokoro
5 Vendramin, Leandro
5 Vershinin, Vladimir V.
5 Yang, Seung Yeop
4 Bae, Yongju
4 Cabrer, Leonardo Manuel
4 Dabkowski, Mieczysław K.
4 Dedo, Maria
4 Diamantis, Ioannis
4 Ferry, Steven C.
4 Gabrovšek, Boštjan
4 Hoste, Jim
4 Kirby, Robion Cromwell
4 Klyachko, Anton Aleksandrovich
4 Lei, Fengchun
4 Lins, Sóstenes L.
4 Löffler, Peter
4 Lopes, Pedro
4 Matsui, Akinori
4 McCrory, Clint G.
4 Millett, Kenneth C.
4 Mukherjee, Sujoy
4 Shanahan, Patrick D.
4 Shiota, Masahiro
4 Spaggiari, Fulvia
4 Spiez, Stanislaw
4 Takase, Masamichi
4 Tinsley, Frederick C.
4 Wagemann, Friedrich
4 Yasuhara, Akira
3 Banagl, Markus
3 Bartholomew, Andrew
3 Basener, William F.
3 Belegradek, Igor
3 Benedetti, Bruno
3 Brown, Robert F.
3 Brumfiel, Gregory W.
3 Burghelea, Dan
3 Caprau, Carmen Livia
3 Carfora, Mauro
3 Cattabriga, Alessia
3 Cheng, Zhiyun
...and 886 more Authors
all top 5

Cited in 189 Serials

133 Journal of Knot Theory and its Ramifications
105 Topology and its Applications
49 Transactions of the American Mathematical Society
44 Algebraic & Geometric Topology
34 Advances in Mathematics
26 Inventiones Mathematicae
26 Proceedings of the American Mathematical Society
23 Geometry & Topology
22 Journal of Pure and Applied Algebra
21 Mathematische Zeitschrift
18 Journal of Algebra
16 Discrete Mathematics
16 Mathematische Annalen
14 Bulletin of the American Mathematical Society
13 Communications in Algebra
13 Communications in Mathematical Physics
12 Mathematical Proceedings of the Cambridge Philosophical Society
11 Proceedings of the Steklov Institute of Mathematics
10 Mathematical Notes
9 Journal of Combinatorial Theory. Series A
8 Annales de l’Institut Fourier
8 Geometriae Dedicata
8 European Journal of Combinatorics
8 Journal of Mathematical Sciences (New York)
8 Journal of Algebra and its Applications
7 Israel Journal of Mathematics
7 Rocky Mountain Journal of Mathematics
7 Discrete & Computational Geometry
7 International Journal of Algebra and Computation
6 Compositio Mathematica
6 Tohoku Mathematical Journal. Second Series
6 International Journal of Mathematics
5 Journal of Geometry and Physics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Manuscripta Mathematica
5 Osaka Journal of Mathematics
5 Bulletin of the American Mathematical Society. New Series
5 Journal of Group Theory
5 Mediterranean Journal of Mathematics
4 Discrete Applied Mathematics
4 International Journal of Theoretical Physics
4 Journal of Mathematical Physics
4 Nuclear Physics. B
4 Acta Mathematica
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Cahiers de Topologie et Géométrie Différentielle Catégoriques
4 Theoretical Computer Science
4 Annals of Pure and Applied Logic
4 Annales Mathématiques Blaise Pascal
4 Journal of the European Mathematical Society (JEMS)
4 Journal of Homotopy and Related Structures
4 Journal of Topology
3 Duke Mathematical Journal
3 Publications Mathématiques
3 Journal of Combinatorial Theory. Series B
3 Journal of Geometry
3 Michigan Mathematical Journal
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Siberian Mathematical Journal
3 Acta Mathematica Hungarica
3 \(K\)-Theory
3 Forum Mathematicum
3 Computational Geometry
3 Aequationes Mathematicae
3 Expositiones Mathematicae
3 Archive for Mathematical Logic
3 Experimental Mathematics
3 Journal of Algebraic Combinatorics
3 Selecta Mathematica. New Series
3 Communications in Contemporary Mathematics
2 General Relativity and Gravitation
2 Ukrainian Mathematical Journal
2 Algebra Universalis
2 Archiv der Mathematik
2 Bulletin de la Société Mathématique de France
2 Illinois Journal of Mathematics
2 Journal of the Mathematical Society of Japan
2 Journal of Soviet Mathematics
2 Kodai Mathematical Journal
2 Kyungpook Mathematical Journal
2 Pacific Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the London Mathematical Society. Third Series
2 Ricerche di Matematica
2 Semigroup Forum
2 Tokyo Journal of Mathematics
2 Advances in Applied Mathematics
2 Ergodic Theory and Dynamical Systems
2 Chinese Annals of Mathematics. Series B
2 Computer Aided Geometric Design
2 Algorithmica
2 International Journal of Approximate Reasoning
2 Journal of the American Mathematical Society
2 International Journal of Computational Geometry & Applications
2 The Journal of Geometric Analysis
2 Linear Algebra and its Applications
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Applied Categorical Structures
2 St. Petersburg Mathematical Journal
2 The Electronic Journal of Combinatorics
...and 89 more Serials
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Cited in 49 Fields

764 Manifolds and cell complexes (57-XX)
196 Algebraic topology (55-XX)
194 Group theory and generalizations (20-XX)
68 Combinatorics (05-XX)
56 Category theory; homological algebra (18-XX)
51 Convex and discrete geometry (52-XX)
51 Differential geometry (53-XX)
43 General topology (54-XX)
36 Order, lattices, ordered algebraic structures (06-XX)
36 Global analysis, analysis on manifolds (58-XX)
33 Nonassociative rings and algebras (17-XX)
32 Quantum theory (81-XX)
30 Associative rings and algebras (16-XX)
29 Computer science (68-XX)
27 Algebraic geometry (14-XX)
21 Dynamical systems and ergodic theory (37-XX)
20 Mathematical logic and foundations (03-XX)
18 \(K\)-theory (19-XX)
17 Several complex variables and analytic spaces (32-XX)
15 Relativity and gravitational theory (83-XX)
12 General algebraic systems (08-XX)
11 Functions of a complex variable (30-XX)
11 Numerical analysis (65-XX)
9 Geometry (51-XX)
6 Partial differential equations (35-XX)
6 Functional analysis (46-XX)
5 Topological groups, Lie groups (22-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Operations research, mathematical programming (90-XX)
3 Commutative algebra (13-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Real functions (26-XX)
3 Potential theory (31-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Probability theory and stochastic processes (60-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Biology and other natural sciences (92-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Measure and integration (28-XX)
2 Statistics (62-XX)
1 Field theory and polynomials (12-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Fluid mechanics (76-XX)

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