Fibrations of Classifying Spaces

DOI10.2307/2154538zbMath0829.55011OpenAlexW4250356679MaRDI QIDQ4300940

Kenshi Ishiguro, Dietrich Notbohm

Publication date: 15 January 1996

Full work available at URL: https://doi.org/10.2307/2154538

zbMATH Keywords

completionsfibrationsloop spaceclassifying spaces of compact connected Lie groupsfinite \(p\)-subgroup of a compact Lie groupretract of the classifying space of a compact connected Lie group

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60) Semisimple Lie groups and their representations (22E46) Loop spaces (55P35) Lie groups (22E99) Fiber spaces in algebraic topology (55R05)

Related Items (2)

Pairings of \(p\)-compact groups and \(H\)-structures on the classifying spaces of finite loop spaces ⋮ Classifying spaces and homotopy sets of axes of pairings

Cites Work

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• Maps between classifying spaces and applications
• The \(p\)-period of a finite group
• The Sullivan conjecture on maps from classifying spaces
• Fake Lie groups and maximal tori. III
• Homotopy classification of self-maps of \(BG\) via \(G\)-actions. II
• The \(Z^*\)-theorem for compact Lie groups
• Fake Lie groups with maximal tori. IV
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Homotopy uniqueness of classifying spaces of compact connected Lie groups at primes dividing the order of the Weyl group
• Subgroups of finite dimensional topological groups
• The spectrum of an equivariant cohomology ring. I. II
• Homotopy limits, completions and localizations
• A classification theorem for fibre spaces
• Maps between p-completed classifying spaces
• Unstable Adams operations on classifying spaces
• The Behaviour of Homology in the Localization of Finite Groups
• Topology of Lie groups and characteristic classes
• Maps between classifying spaces
• Maps between classifying spaces

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