Kernels of maps between classifying spaces

DOI10.1007/BF02772997zbMath0839.55011MaRDI QIDQ1335160

Dietrich Notbohm

Publication date: 27 September 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

classifying spacecompletionlocalizationcompact Lie group

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60)

Related Items

Recognizing nullhomotopic maps into the classifying space of a Kac-Moody group ⋮ Connected finite loop spaces with maximal tori

Cites Work

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• The Sullivan conjecture on maps from classifying spaces
• Locally finite approximation of Lie groups. I
• The Segal conjecture for compact Lie groups
• Homotopy classification of self-maps of \(BG\) via \(G\)-actions. I
• A cohomology decomposition theorem
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• The spectrum of an equivariant cohomology ring. I. II
• Homotopy limits, completions and localizations
• Maps between classifying spaces