Homology decompositions for classifying spaces of compact Lie groups

DOI10.1090/S0002-9947-00-02427-2zbMath0969.55007OpenAlexW1620172553WikidataQ115289163 ScholiaQ115289163MaRDI QIDQ4955703

Alexei Strounine

Publication date: 22 May 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02427-2

zbMATH Keywords

homotopy colimit

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Compact groups of homeomorphisms (57S10)

Related Items (1)

Normalizers of chains of discrete \(p\)-toral subgroups in compact Lie groups

Cites Work

• Homology decompositions for classifying spaces of finite groups
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Transformation groups
• A transfer homomorphism for compact Lie group actions
• Homotopy classification of self-maps of \(BG\) via \(G\)-actions. II
• Modules of topological spaces, applications to homotopy limits and \(E_ \infty\) structures
• Vector bundles over classifying spaces of compact Lie groups
• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• Homotopy limits, completions and localizations
• Equivariant singular homology and cohomology. I
• Equivariant Homology Theories on G-Complexes

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