Keyword

classifying spaces

Description: In algebraic topology, classifying spaces are spaces that encode principal bundles and support the study of groups and their cohomology.

Primary topic: Homotopy and Cohomology in Algebraic Topology (70%)

Wikidata ID: wiki/Q5128445

OpenAlex ID: keywords/classifying-spaces

Model Categories and Their Localizations

2009 · Philip Hirschhorn · Mathematical surveys and monographs · 1,150

Homotopy Invariant Algebraic Structures on Topological Spaces

1973 · J. M. Boardman, R. M. Vogt · Lecture notes in mathematics · 992

Classifying spaces and spectral sequences

1968 · Graeme Segal · Publications mathématiques de l IHÉS · 764

The homotopy theory of dg-categories and derived Morita theory

2006 · Bertrand Toën · Inventiones mathematicae · 440

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Fusion categories and homotopy theory

2010 · Pavel Etingof, Dmitri Nikshych, et al. · Quantum Topology · 401

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Homotopy colimits in the category of small categories

1979 · R. W. Thomason · Mathematical Proceedings of the Cambridge Philosophical Society · 307

The Sullivan Conjecture on Maps from Classifying Spaces

1984 · Haynes Miller · Annals of Mathematics · 292

The Novikov Conjecture for Groups with Finite Asymptotic Dimension

1998 · Guoliang Yu · Annals of Mathematics · 279

Fusion Systems in Algebra and Topology

2011 · Michael Aschbacher, Radha Kessar, et al. · Cambridge University Press eBooks · 278

Cohomology of Finite Groups

1994 · Alejandro Adem, R. James Milgram · Grundlehren der mathematischen Wissenschaften · 257

Complements of Discriminants of Smooth Maps: Topology and Applications

1992 · V. A. Vasil’ev · Medical Entomology and Zoology · 251

Classifying spaces and fibrations

1975 · J. Peter May · Memoirs of the American Mathematical Society · 239

The classifying spaces for surgery and cobordism of manifolds

1980 · Ib Madsen, R. James Milgram · Princeton University Press eBooks · 224

G-groupoids, crossed modules and the fundamental groupoid of a topological group

1976 · Ronald Brown, Christopher B Spencer · Indagationes Mathematicae (Proceedings) · 217

Curvature and Characteristic Classes

1978 · Johan L. Dupont · Lecture notes in mathematics · 206

Partial Desingularisations of Quotients of Nonsingular Varieties and their Betti Numbers

1985 · Frances Clare Kirwan · Annals of Mathematics · 200

Handbook of Algebraic Topology

1995 · Elsevier eBooks · 197

The Cohomology Ring of a Finite Group

1961 · Leonard Evens · Transactions of the American Mathematical Society · 197

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The homotopy type of the cobordism category

2009 · Søren Galatius, Ib Madsen, et al. · Acta Mathematica · 195

Homotopy-everything 𝐻-spaces

1968 · J. M. Boardman, R. M. Vogt · Bulletin of the American Mathematical Society · 192

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The Chow ring of a classifying space

1999 · Burt Totaro · Proceedings of symposia in pure mathematics · 182

Systems of Fixed Point Sets

1983 · A. D. Elmendorf · Transactions of the American Mathematical Society · 170

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Trunks and classifying spaces

1995 · Roger Fenn, Colin Rourke, et al. · Applied Categorical Structures · 168

Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology

2014 · Kapustin, Anton · arXiv (Cornell University) · 159

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The Hopf ring for complex cobordism

1977 · Douglas C. Ravenel, W.Stephen Wilson · Journal of Pure and Applied Algebra · 152

Works count: 2,047

Citation count: 25,100