# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 34 Publications since 1942, including 4 Books
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#### Co-Authors

 29 single-authored 3 Kan, Daniel Marinus 1 Eckmann, Beno 1 James, Ioan Mackenzie 1 Samelson, Hans 1 Thomas, Paul Emery 1 Toda, Hirosi
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#### Serials

 10 Annals of Mathematics. Second Series 4 Proceedings of the National Academy of Sciences of the United States of America 2 Topology 2 Transactions of the American Mathematical Society 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Commentarii Mathematici Helvetici 1 Proceedings of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin of the American Mathematical Society 1 Journal of Mathematics and Mechanics 1 Graduate Texts in Mathematics 1 Regional Conference Series in Mathematics

#### Fields

 4 Algebraic topology (55-XX) 3 History and biography (01-XX) 2 Manifolds and cell complexes (57-XX) 1 Algebraic geometry (14-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH

29 Publications have been cited 946 times in 782 Documents Cited by Year
Elements of homotopy theory. Zbl 0406.55001
1978
Some aspects of stable homotopy theory. Zbl 0151.31101
1962
Generalized homology theories. Zbl 0124.38302
1962
A generalization of the Hopf invariant. Zbl 0045.44202
1950
On products in homotopy groups. Zbl 0060.41106
1946
Recent advances in homotopy theory. Zbl 0217.48601
1970
On the Freudenthal theorems. Zbl 0050.17501
1953
The reduced join of two spectra. Zbl 0142.40501
Kan, D. M.; Whitehead, G. W.
1965
On the homotopy groups of spheres and rotation groups. Zbl 0060.41105
1942
Note on cross-sections in Stiefel manifolds. Zbl 0118.18702
1963
The $$(n+2)^{nd}$$ homotopy group of the $$n$$-sphere. Zbl 0037.39703
1950
Homotopy properties of the real orthogonal groups. Zbl 0060.41415
1942
On the homology suspension. Zbl 0067.41201
1955
Fiber spaces and the Eilenberg homology groups. Zbl 0048.41302
1952
Orientability and Poincaré duality in general homology theories. Zbl 0136.20005
Kan, D. M.; Whitehead, G. W.
1965
The homology suspension. Zbl 0079.39101
1957
Homotopy theory. Compiled by Robert J. Aumann. Zbl 0053.43402
1953
A generalization of the Hopf invariant. Zbl 0041.51903
1950
On the symmetric square of a sphere. Zbl 0136.20301
James, I. M.; Thomas, Emery; Toda, Hirosi; Whitehead, G. W.
1963
On the realizability of singular cohomology groups. Zbl 0109.15801
Kan, D. M.; Whitehead, G. W.
1961
Some aspects of stable homotopy theory. Zbl 0127.38901
1963
On spaces with vanishing low-dimensional homotopy groups. Zbl 0031.28601
1948
Homotopy groups of joins and unions. Zbl 0073.18301
1956
Homotopy properties of the real orthogonal groups. JFM 68.0506.01
1942
Note on a theorem of Sugawara. Zbl 0103.16101
1959
Fifty years of homotopy theory. Zbl 0524.55002
1983
On families of continuous vector fields over spheres. Zbl 0060.41414
1946
Homology theories and duality. Zbl 0117.40202
1960
On fibering spheres by toruses. Zbl 0033.02601
Eckmann, Beno; Samelson, H.; Whitehead, G. W.
1949
Fifty years of homotopy theory. Zbl 0524.55002
1983
Elements of homotopy theory. Zbl 0406.55001
1978
Recent advances in homotopy theory. Zbl 0217.48601
1970
The reduced join of two spectra. Zbl 0142.40501
Kan, D. M.; Whitehead, G. W.
1965
Orientability and Poincaré duality in general homology theories. Zbl 0136.20005
Kan, D. M.; Whitehead, G. W.
1965
Note on cross-sections in Stiefel manifolds. Zbl 0118.18702
1963
On the symmetric square of a sphere. Zbl 0136.20301
James, I. M.; Thomas, Emery; Toda, Hirosi; Whitehead, G. W.
1963
Some aspects of stable homotopy theory. Zbl 0127.38901
1963
Some aspects of stable homotopy theory. Zbl 0151.31101
1962
Generalized homology theories. Zbl 0124.38302
1962
On the realizability of singular cohomology groups. Zbl 0109.15801
Kan, D. M.; Whitehead, G. W.
1961
Homology theories and duality. Zbl 0117.40202
1960
Note on a theorem of Sugawara. Zbl 0103.16101
1959
The homology suspension. Zbl 0079.39101
1957
Homotopy groups of joins and unions. Zbl 0073.18301
1956
On the homology suspension. Zbl 0067.41201
1955
On the Freudenthal theorems. Zbl 0050.17501
1953
Homotopy theory. Compiled by Robert J. Aumann. Zbl 0053.43402
1953
Fiber spaces and the Eilenberg homology groups. Zbl 0048.41302
1952
A generalization of the Hopf invariant. Zbl 0045.44202
1950
The $$(n+2)^{nd}$$ homotopy group of the $$n$$-sphere. Zbl 0037.39703
1950
A generalization of the Hopf invariant. Zbl 0041.51903
1950
On fibering spheres by toruses. Zbl 0033.02601
Eckmann, Beno; Samelson, H.; Whitehead, G. W.
1949
On spaces with vanishing low-dimensional homotopy groups. Zbl 0031.28601
1948
On products in homotopy groups. Zbl 0060.41106
1946
On families of continuous vector fields over spheres. Zbl 0060.41414
1946
On the homotopy groups of spheres and rotation groups. Zbl 0060.41105
1942
Homotopy properties of the real orthogonal groups. Zbl 0060.41415
1942
Homotopy properties of the real orthogonal groups. JFM 68.0506.01
1942
all top 5

#### Cited by 795 Authors

 16 Gonçalves, Daciberg Lima 10 Dydak, Jerzy 8 Arkowitz, Martin 8 Koschorke, Ulrich 8 Lupton, Gregory M. 7 Papadima, Ștefan 6 Dranishnikov, Alexander Nikolaevich 6 Félix, Yves 6 Golasiński, Marek 6 Lee, Dae-Woong 6 Møller, Jesper Michael 6 Oprea, John F. 6 Repovš, Dušan D. 6 Strom, Jeffrey A. 6 Thomas, Jean-Claude 6 Yang, Huajian 5 Blanc, David Abraham 5 Conner, Pierre E. 5 Dwyer, William G. 5 Guaschi, John 5 James, Ioan Mackenzie 5 Kultze, Rolf 5 Landweber, Peter S. 5 Oda, Nobuyuki 5 Siegmund Puppe, Dieter 5 Smith, Samuel Bruce 5 Wu, Jie 4 Arlettaz, Dominique 4 Baues, Hans-Joachim 4 Burghelea, Dan 4 Cochran, Thomas (Tim) Daniel 4 Cohen, Frederick Ronald 4 Crowley, Diarmuid John 4 Hardie, Keith A. 4 Iwase, Norio 4 Kishimoto, Daisuke 4 Kołodziejczyk, Danuta 4 Kono, Akira 4 Neisendorfer, Joseph A. 4 Richter, William 4 Schochet, Claude L. 4 Spiez, Stanislaw 4 Suciu, Alexander I. 4 Taheri, Ali 4 Thomas, Paul Emery 4 Vandembroucq, Lucile 4 Whitehead, George W. 4 Wong, Peter N.-S. 3 Bauer, Friedrich-Wilhelm 3 Cavicchioli, Alberto 3 Dadarlat, Marius 3 De Melo, Thiago 3 Deleanu, Aristide 3 Fang, Fuquan 3 Farber, Michael S. 3 Floyd, Edwin E. 3 Forstnerič, Franc 3 Friedman, Greg 3 Gong, Guihua 3 Gonzalez, Jesus 3 Goodwillie, Thomas Gehret 3 Grant, Mark 3 Habegger, Nathan 3 Hurder, Steven E. 3 Intermont, Michele 3 Kaminker, Jerome 3 Karimov, Umed H. 3 Katz, Mikhail G. 3 Lück, Wolfgang 3 McCarthy, Randy 3 Menichi, Luc 3 Mimura, Mamoru 3 Noakes, J. Lyle 3 Prieto, Carlos Tejero 3 Randall, Duane 3 Ray, Nigel 3 Robinson, Christopher Alan 3 Sasao, Seiya 3 Sati, Hisham 3 Schultz, Reinhard E. 3 Segal, Jack 3 Smith, Larry 3 Stanley, Donald A. 3 Toda, Hirosi 3 Witbooi, Peter Joseph 3 Yokoi, Katsuya 3 Zhao, Xu-An 2 Alexander, James Crew 2 Arlt, Dietmar 2 Asok, Aravind 2 Ayala, Rafael 2 Baum, Paul Frank 2 Becker, James Cyril 2 Belegradek, Igor 2 Benson, David John 2 Berarducci, Alessandro 2 Bökstedt, Marcel 2 Brazas, Jeremy 2 Brown, Edgar H. jun. 2 Bullejos, Manuel ...and 695 more Authors
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#### Cited in 146 Serials

 96 Topology and its Applications 87 Transactions of the American Mathematical Society 45 Journal of Pure and Applied Algebra 44 Proceedings of the American Mathematical Society 30 Mathematische Zeitschrift 30 Algebraic & Geometric Topology 25 Mathematische Annalen 19 Inventiones Mathematicae 19 Bulletin of the American Mathematical Society 16 Geometry & Topology 14 Advances in Mathematics 12 Israel Journal of Mathematics 12 Mathematical Proceedings of the Cambridge Philosophical Society 11 Annales de l’Institut Fourier 11 Manuscripta Mathematica 9 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Geometriae Dedicata 8 Tohoku Mathematical Journal. Second Series 7 Communications in Mathematical Physics 7 Cahiers de Topologie et Géométrie Différentielle Catégoriques 7 $$K$$-Theory 7 Journal of Homotopy and Related Structures 6 Compositio Mathematica 6 Duke Mathematical Journal 6 Journal of Algebra 6 Kodai Mathematical Journal 6 Proceedings of the Japan Academy 5 Journal of Geometry and Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Archiv der Mathematik 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Differential Geometry and its Applications 5 Journal of Fixed Point Theory and Applications 4 Journal of Mathematical Physics 4 Bulletin de la Société Mathématique de France 4 Nagoya Mathematical Journal 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Annals of Mathematics. Second Series 3 Bulletin of the Australian Mathematical Society 3 Reports on Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Journal of Functional Analysis 3 Journal of the Mathematical Society of Japan 3 Journal of Symbolic Computation 3 Discrete & Computational Geometry 3 Forum Mathematicum 3 Science in China. Series A 3 Bulletin of the American Mathematical Society. New Series 3 Acta Mathematica Sinica. English Series 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Journal of $$K$$-Theory 2 Archive for Rational Mechanics and Analysis 2 Communications in Algebra 2 Communications on Pure and Applied Mathematics 2 Mathematical Notes 2 Nuclear Physics. B 2 Acta Mathematica 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Czechoslovak Mathematical Journal 2 Publications Mathématiques 2 Journal of Differential Equations 2 Mathematika 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Chinese Annals of Mathematics. Series B 2 Journal of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Geometric and Functional Analysis. GAFA 2 Linear Algebra and its Applications 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Sciences (New York) 2 Selecta Mathematica. New Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of the Institute of Mathematics of Jussieu 2 Mediterranean Journal of Mathematics 2 Kodai Mathematical Seminar Reports 2 Journal of Topology and Analysis 2 Science China. Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Archive for History of Exact Sciences 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Collectanea Mathematica 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 International Journal of Computer & Information Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B ...and 46 more Serials
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#### Cited in 44 Fields

 483 Algebraic topology (55-XX) 207 Manifolds and cell complexes (57-XX) 80 Category theory; homological algebra (18-XX) 54 Differential geometry (53-XX) 51 Group theory and generalizations (20-XX) 49 General topology (54-XX) 41 Algebraic geometry (14-XX) 40 Global analysis, analysis on manifolds (58-XX) 33 $$K$$-theory (19-XX) 22 Several complex variables and analytic spaces (32-XX) 18 Topological groups, Lie groups (22-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Functional analysis (46-XX) 16 Associative rings and algebras (16-XX) 15 Quantum theory (81-XX) 11 Operator theory (47-XX) 9 Mathematical logic and foundations (03-XX) 8 Number theory (11-XX) 8 Commutative algebra (13-XX) 8 Convex and discrete geometry (52-XX) 8 Computer science (68-XX) 8 Mechanics of particles and systems (70-XX) 7 Nonassociative rings and algebras (17-XX) 7 Partial differential equations (35-XX) 6 History and biography (01-XX) 5 Combinatorics (05-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General algebraic systems (08-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

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