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Crabb, Michael C.

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Author ID: crabb.michael-c Recent zbMATH articles by "Crabb, Michael C."
Published as: Crabb, M. C.; Crabb, Michael; Crabb, Michael C.
Documents Indexed: 74 Publications since 1975, including 3 Books

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 264 times in 197 Documents Cited by Year
Fibrewise homotopy theory. Zbl 0905.55001
Crabb, Michael; James, Ioan
41
1998
Counting homotopy types of gauge groups. Zbl 1024.55005
Crabb, M. C.; Sutherland, W. A.
31
2000
Representations of the homology of BV and the Steenrod algebra. II. Zbl 0858.55014
Crabb, M. C.; Hubbuck, J. R.
18
1996
Representations of the homology of BV and the Steenrod algebra. I. Zbl 0752.55012
Alghamdi, Mohamed Ali; Crabb, M. C.; Hubbuck, J. R.
11
1992
\(\mathbb{Z}/2\) - homotopy theory. Zbl 0443.55001
Crabb, M. C.
10
1980
Vector-bundle monomorphisms with finite singularities. Zbl 0294.57015
Crabb, M. C.; Steer, B.
9
1975
The homotopy coincidence index. Zbl 1205.55002
Crabb, M. C.
9
2010
Obstruction theory on 8-manifolds. Zbl 1157.55011
Čadek, Martin; Crabb, Michael; Vanžura, Jiří
7
2008
The Miki-Gessel Bernoulli number identity. Zbl 1160.11312
Crabb, M. C.
7
2005
Counting nilpotent endomorphisms. Zbl 1080.05018
Crabb, M. C.
6
2006
The Hurewicz map on stunted complex projective spaces. Zbl 0665.55007
Crabb, M. C.; Knapp, K.
6
1988
Spaces of commuting elements in SU(2). Zbl 1222.55007
Crabb, M. C.
6
2011
On the \(KO_{{\mathbb{Z}}/2}\)-Euler class. I. Zbl 0723.55010
Crabb, M. C.
5
1991
Equivariant fixed-point indices of iterated maps. Zbl 1142.37020
Crabb, M. C.
5
2007
The space of sections of a sphere-bundle. I. Zbl 0614.55012
Crabb, M. C.; Sutherland, W. A.
5
1986
On the codegree of negative multiples of the Hopf bundle. Zbl 0633.55014
Crabb, M. C.; Knapp, K.
5
1987
Theorems of Kakutani and Dyson revisited. Zbl 1214.55002
Crabb, M. C.; Jaworowski, J.
5
2009
James quasi-periodicity for the codegree of vector bundles over complex projective spaces. Zbl 0627.55013
Crabb, M. C.; Knapp, K.
4
1987
The loops on U(n)/O(n) and U(2n)/Sp(n). Zbl 0667.55006
Crabb, M. C.; Mitchell, S. A.
4
1988
Function spaces and Hurwitz-Radon numbers. Zbl 0581.55004
Crabb, M. C.; Sutherland, W. A.
4
1984
Quaternionic structures. Zbl 1209.55009
Čadek, Martin; Crabb, Michael; Vanžura, Jiří
4
2010
Immersing projective spaces in Euclidean space. Zbl 0719.57017
Crabb, M. C.
3
1991
On the \(KO_{{\mathbb{Z}}/2}\)-Euler class. II. Zbl 0723.55011
Crabb, M. C.
3
1991
Dickson-Mui invariants. Zbl 1091.15034
Crabb, M. C.
3
2005
A bundle over the tangent sphere-bundle of a \(\pi\)-manifold. Zbl 0404.57023
Crabb, M. C.; Sutherland, W. A.
3
1979
The Fuller index. Zbl 0996.54506
Crabb, M. C.; Potter, A. J. B.
3
2002
Lefschetz indices for \(n\)-valued maps. Zbl 1329.55001
Crabb, M. C.
3
2015
Vector bundles of maximal codegree. Zbl 0597.55018
Crabb, M. C.; Knapp, K.
3
1986
Fields of spaces. Zbl 0758.55003
Crabb, M. C.; Hubbuck, J. R.; Xu, Kai
3
1992
Adams periodicity in stable homotopy. Zbl 0581.55008
Crabb, M. C.; Knapp, K.
3
1985
The geometric Hopf invariant and surgery theory. Zbl 1404.55001
Crabb, Michael; Ranicki, Andrew
2
2017
Homotopy nilpotency. Zbl 0932.55007
Crabb, M. C.; Sutherland, W. A.; Zhang, Ping
2
1999
Fibrewise Hopf structures on sphere-bundles. Zbl 0795.55009
Cook, A. L.; Crabb, M. C.
2
1993
Loop homology as fibrewise homology. Zbl 1138.55010
Crabb, M. C.
2
2008
On the stable splitting of U(n) and \(\Omega\) U(n). Zbl 0647.55008
Crabb, M. C.
2
1987
\(G\)-structures on spheres. Zbl 1110.55008
Cadek, Martin; Crabb, Michael
2
2006
James numbers. Zbl 0627.57026
Crabb, M. C.; Knapp, K.
2
1988
Aspects of the Borsuk-Ulam theorem. Zbl 1282.55002
Crabb, M. C.; Jaworowski, J.
2
2013
Fixed-orbit indices. I. Zbl 1258.55001
Crabb, M. C.
2
2012
The topological Tverberg theorem and related topics. Zbl 1264.55001
Crabb, M. C.
2
2012
The fibrewise Leray-Schauder index. Zbl 1125.55001
Crabb, M. C.
2
2007
The 2-sphere is Wecken for \(n\)-valued maps. Zbl 1420.55003
Brown, Robert F.; Crabb, Michael; Ericksen, Adam; Stimpson, Matthew
1
2019
Enumerating projectively equivalent bundles. Zbl 0917.55011
Crabb, M. C.; Spreafico, M.; Sutherland, W. A.
1
1999
Stable summands of \(U(n)\). Zbl 0883.55013
Crabb, M. C.; Hubbuck, J. R.; McCall, J. A. W.
1
1997
\(K\)-theory and the anti-automorphism of the Steenrod algebra. Zbl 0864.55015
Crabb, M. C.; Crossley, M. D.; Hubbuck, J. R.
1
1996
Applications of nonconnective \(Im(J)\)-theory. Zbl 0864.55006
Crabb, M. C.; Knapp, K.
1
1995
Fibrewise homology. Zbl 0987.55016
Crabb, M. C.
1
2001
Brauer induction and equivariant stable homotopy. Zbl 0991.20004
Crabb, M. C.
1
2001
Periodicity in \({\mathbb{Z}}/4\)-equivariant stable homotopy theory. Zbl 0696.55006
Crabb, M. C.
1
1989
Invariants of fixed-point-free circle actions. Zbl 0696.55011
Crabb, M. C.
1
1989
The Fuller index and \(\mathbb{T}\)-equivariant stable homotopy theory. Zbl 0735.58007
Crabb, M. C.
1
1990
Polynomial loops on spheres. Zbl 1068.55006
Bauer, Sven; Crabb, Michael
1
2004
Limiting cases of Boardman’s five halves theorem. Zbl 1291.57021
Crabb, Michael C.; Pergher, Pedro L. Q.
1
2013
The geometric Hopf invariant and double points. Zbl 1205.55011
Crabb, Michael; Ranicki, Andrew
1
2010
The 2-sphere is Wecken for \(n\)-valued maps. Zbl 1420.55003
Brown, Robert F.; Crabb, Michael; Ericksen, Adam; Stimpson, Matthew
1
2019
The geometric Hopf invariant and surgery theory. Zbl 1404.55001
Crabb, Michael; Ranicki, Andrew
2
2017
Lefschetz indices for \(n\)-valued maps. Zbl 1329.55001
Crabb, M. C.
3
2015
Aspects of the Borsuk-Ulam theorem. Zbl 1282.55002
Crabb, M. C.; Jaworowski, J.
2
2013
Limiting cases of Boardman’s five halves theorem. Zbl 1291.57021
Crabb, Michael C.; Pergher, Pedro L. Q.
1
2013
Fixed-orbit indices. I. Zbl 1258.55001
Crabb, M. C.
2
2012
The topological Tverberg theorem and related topics. Zbl 1264.55001
Crabb, M. C.
2
2012
Spaces of commuting elements in SU(2). Zbl 1222.55007
Crabb, M. C.
6
2011
The homotopy coincidence index. Zbl 1205.55002
Crabb, M. C.
9
2010
Quaternionic structures. Zbl 1209.55009
Čadek, Martin; Crabb, Michael; Vanžura, Jiří
4
2010
The geometric Hopf invariant and double points. Zbl 1205.55011
Crabb, Michael; Ranicki, Andrew
1
2010
Theorems of Kakutani and Dyson revisited. Zbl 1214.55002
Crabb, M. C.; Jaworowski, J.
5
2009
Obstruction theory on 8-manifolds. Zbl 1157.55011
Čadek, Martin; Crabb, Michael; Vanžura, Jiří
7
2008
Loop homology as fibrewise homology. Zbl 1138.55010
Crabb, M. C.
2
2008
Equivariant fixed-point indices of iterated maps. Zbl 1142.37020
Crabb, M. C.
5
2007
The fibrewise Leray-Schauder index. Zbl 1125.55001
Crabb, M. C.
2
2007
Counting nilpotent endomorphisms. Zbl 1080.05018
Crabb, M. C.
6
2006
\(G\)-structures on spheres. Zbl 1110.55008
Cadek, Martin; Crabb, Michael
2
2006
The Miki-Gessel Bernoulli number identity. Zbl 1160.11312
Crabb, M. C.
7
2005
Dickson-Mui invariants. Zbl 1091.15034
Crabb, M. C.
3
2005
Polynomial loops on spheres. Zbl 1068.55006
Bauer, Sven; Crabb, Michael
1
2004
The Fuller index. Zbl 0996.54506
Crabb, M. C.; Potter, A. J. B.
3
2002
Fibrewise homology. Zbl 0987.55016
Crabb, M. C.
1
2001
Brauer induction and equivariant stable homotopy. Zbl 0991.20004
Crabb, M. C.
1
2001
Counting homotopy types of gauge groups. Zbl 1024.55005
Crabb, M. C.; Sutherland, W. A.
31
2000
Homotopy nilpotency. Zbl 0932.55007
Crabb, M. C.; Sutherland, W. A.; Zhang, Ping
2
1999
Enumerating projectively equivalent bundles. Zbl 0917.55011
Crabb, M. C.; Spreafico, M.; Sutherland, W. A.
1
1999
Fibrewise homotopy theory. Zbl 0905.55001
Crabb, Michael; James, Ioan
41
1998
Stable summands of \(U(n)\). Zbl 0883.55013
Crabb, M. C.; Hubbuck, J. R.; McCall, J. A. W.
1
1997
Representations of the homology of BV and the Steenrod algebra. II. Zbl 0858.55014
Crabb, M. C.; Hubbuck, J. R.
18
1996
\(K\)-theory and the anti-automorphism of the Steenrod algebra. Zbl 0864.55015
Crabb, M. C.; Crossley, M. D.; Hubbuck, J. R.
1
1996
Applications of nonconnective \(Im(J)\)-theory. Zbl 0864.55006
Crabb, M. C.; Knapp, K.
1
1995
Fibrewise Hopf structures on sphere-bundles. Zbl 0795.55009
Cook, A. L.; Crabb, M. C.
2
1993
Representations of the homology of BV and the Steenrod algebra. I. Zbl 0752.55012
Alghamdi, Mohamed Ali; Crabb, M. C.; Hubbuck, J. R.
11
1992
Fields of spaces. Zbl 0758.55003
Crabb, M. C.; Hubbuck, J. R.; Xu, Kai
3
1992
On the \(KO_{{\mathbb{Z}}/2}\)-Euler class. I. Zbl 0723.55010
Crabb, M. C.
5
1991
Immersing projective spaces in Euclidean space. Zbl 0719.57017
Crabb, M. C.
3
1991
On the \(KO_{{\mathbb{Z}}/2}\)-Euler class. II. Zbl 0723.55011
Crabb, M. C.
3
1991
The Fuller index and \(\mathbb{T}\)-equivariant stable homotopy theory. Zbl 0735.58007
Crabb, M. C.
1
1990
Periodicity in \({\mathbb{Z}}/4\)-equivariant stable homotopy theory. Zbl 0696.55006
Crabb, M. C.
1
1989
Invariants of fixed-point-free circle actions. Zbl 0696.55011
Crabb, M. C.
1
1989
The Hurewicz map on stunted complex projective spaces. Zbl 0665.55007
Crabb, M. C.; Knapp, K.
6
1988
The loops on U(n)/O(n) and U(2n)/Sp(n). Zbl 0667.55006
Crabb, M. C.; Mitchell, S. A.
4
1988
James numbers. Zbl 0627.57026
Crabb, M. C.; Knapp, K.
2
1988
On the codegree of negative multiples of the Hopf bundle. Zbl 0633.55014
Crabb, M. C.; Knapp, K.
5
1987
James quasi-periodicity for the codegree of vector bundles over complex projective spaces. Zbl 0627.55013
Crabb, M. C.; Knapp, K.
4
1987
On the stable splitting of U(n) and \(\Omega\) U(n). Zbl 0647.55008
Crabb, M. C.
2
1987
The space of sections of a sphere-bundle. I. Zbl 0614.55012
Crabb, M. C.; Sutherland, W. A.
5
1986
Vector bundles of maximal codegree. Zbl 0597.55018
Crabb, M. C.; Knapp, K.
3
1986
Adams periodicity in stable homotopy. Zbl 0581.55008
Crabb, M. C.; Knapp, K.
3
1985
Function spaces and Hurwitz-Radon numbers. Zbl 0581.55004
Crabb, M. C.; Sutherland, W. A.
4
1984
\(\mathbb{Z}/2\) - homotopy theory. Zbl 0443.55001
Crabb, M. C.
10
1980
A bundle over the tangent sphere-bundle of a \(\pi\)-manifold. Zbl 0404.57023
Crabb, M. C.; Sutherland, W. A.
3
1979
Vector-bundle monomorphisms with finite singularities. Zbl 0294.57015
Crabb, M. C.; Steer, B.
9
1975
all top 5

Cited by 200 Authors

22 Crabb, Michael C.
8 Kishimoto, Daisuke
7 Kono, Akira
7 Theriault, Stephen D.
5 Iwase, Norio
5 Klein, John Robert
5 Sakai, Michihiro
5 Sum, Nguyễn
5 Tsutaya, Mitsunobu
4 Čadek, Martin
4 Golasiński, Marek
4 Smith, Samuel Bruce
3 Berrick, A. Jon
3 Dang Vo Phuc
3 Davis, Donald M.
3 De Melo, Thiago
3 Hamanaka, Hiroaki
3 Koschorke, Ulrich
3 Mohammadi, Sajjad
3 Skiba, Robert
2 Agoh, Takashi
2 Arone, Gregory Z.
2 Asadi-Golmankhaneh, Mohammad Ali
2 Brown, Robert F.
2 Buijs, Urtzi
2 Choi, Younggi
2 Dos Santos, Edivaldo L.
2 Ferrario, Davide L.
2 Gęba, Kazimierz
2 Gonçalves, Daciberg Lima
2 Gonzalez, Jesus
2 Guaschi, John
2 Izydorek, Marek
2 Knapp, Karlheinz
2 Lam, Kee Yuen
2 Lupton, Gregory M.
2 Membrillo-Solis, Ingrid
2 Morisugi, Kaoru
2 Nam, Trân Ngoc
2 Nguyen Sum
2 Oda, Nobuyuki
2 Pavešić, Petar
2 Pengelley, David J.
2 Phuc, Dang Vo
2 Ponto, Kate
2 Randall, Duane
2 Richter, William
2 Salač, Tomáš
2 Sati, Hisham
2 Selick, Paul S.
2 Staecker, Peter Christopher
2 Sutherland, Wilson A.
2 Vanžura, Jiří
2 Villarreal, Bernardo
2 Williams, Frank J.
2 Yang, Huijun
1 Acikgoz, Mehmet
1 Adem, Alejandro
1 Albanese, Michael
1 Allard, Jacques
1 Altunbulak Aksu, Fatma
1 Andrade Claudio, M. H.
1 Antolín-Camarena, Omar
1 Aouina, Mokhtar
1 Araci, Serkan
1 Ault, Shaun V.
1 Baird, Thomas John
1 Baralić, Đorđe
1 Bartłomiejczyk, Piotr
1 Bartsch, Thomas J.
1 Bauer, Stefan Alois
1 Baues, Hans-Joachim
1 Beben, Piotr
1 Blagojević, Pavle V. M.
1 Braunack-Mayer, Vincent
1 Bruner, Robert R.
1 Carrasquel-Vera, José Gabriel
1 Case, Adam
1 Chataur, David
1 Cheraghpour, Hassan
1 Chiossi, Simon G.
1 Çineli, Erman
1 Cohen, Frederick Ronald
1 Cohen, Ralph L.
1 Crossley, Martin D.
1 Crowley, Diarmuid John
1 Cutler, Tyrone
1 de P. L. Mello, Maria Hermínia
1 de Soouza Cardim, Nancy
1 Deconinck, Charlotte
1 Dekimpe, Karel
1 Dilcher, Karl
1 Franc, Aleksandra
1 Furuta, Mikio
1 Galatius, Søren
1 García-Calcines, Jose Manuel
1 Ghorpade, Sudhir R.
1 Ghosseiri, Nader M.
1 Giambalvo, Vince
1 Ginzburg, Viktor L’vovich
...and 100 more Authors
all top 5

Cited in 71 Serials

40 Topology and its Applications
16 Algebraic & Geometric Topology
15 Journal of Fixed Point Theory and Applications
8 Journal of Pure and Applied Algebra
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Advances in Mathematics
6 Manuscripta Mathematica
6 Transactions of the American Mathematical Society
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Proceedings of the American Mathematical Society
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Geometry & Topology
3 Mathematische Zeitschrift
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Topology
2 Journal of Geometry and Physics
2 Mathematische Annalen
2 Forum Mathematicum
2 Differential Geometry and its Applications
2 Journal of Topology and Analysis
2 Science China. Mathematics
1 American Mathematical Monthly
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Bulletin de la Société Mathématique de France
1 Compositio Mathematica
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series A
1 Journal of the Korean Mathematical Society
1 Journal of Number Theory
1 Mathematica Slovaca
1 Mathematika
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Annals of Global Analysis and Geometry
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 Designs, Codes and Cryptography
1 Linear Algebra and its Applications
1 Georgian Mathematical Journal
1 Finite Fields and their Applications
1 Discrete and Continuous Dynamical Systems
1 The Ramanujan Journal
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Annals of Combinatorics
1 Communications of the Korean Mathematical Society
1 Communications in Contemporary Mathematics
1 Integers
1 Central European Journal of Mathematics
1 Journal of Algebra and its Applications
1 International Journal of Geometric Methods in Modern Physics
1 Advances in Difference Equations
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Homotopy and Related Structures
1 Journal of \(K\)-Theory
1 Kyoto Journal of Mathematics
1 Proceedings of the International Geometry Center
1 Moscow Journal of Combinatorics and Number Theory
1 Nonlinear Analysis. Theory, Methods & Applications
1 Arnold Mathematical Journal
1 European Journal of Mathematics

Citations by Year