Maps between classifying spaces and applications
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Publication:689270
DOI10.1016/0022-4049(93)90057-ZzbMath0794.55011MaRDI QIDQ689270
Publication date: 5 September 1994
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
lambda-ringself-homotopy equivalencesmapping spacescomplex \(K\)-theorycompact connected Lie groupsfake Lie groups
Classification of homotopy type (55P15) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Classification of mappings in algebraic topology (55S37)
Related Items (8)
On adic genus and lambda-rings ⋮ On \(\lambda\)-rings and topological realization ⋮ Fake Lie groups and maximal tori. III ⋮ Tautological classes and smooth bundles over BSU(2) ⋮ Classifying spaces and homotopy sets of axes of pairings ⋮ Fibrations of Classifying Spaces ⋮ Loop structures on the homotopy type of \(S^3\) revisited ⋮ Infinite CW-complexes, Brauer groups and phantom cohomology
Cites Work
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- The Sullivan conjecture on maps from classifying spaces
- Locally finite approximation of Lie groups. I
- Rigidity properties of compact Lie groups modulo maximal tori
- Fake Lie groups and maximal tori. III
- Homotopy classification of self-maps of \(BG\) via \(G\)-actions. II
- Exceptional isogenies and the classifying spaces of simple Lie groups
- Genetics of homotopy theory and the Adams conjecture
- Homotopy limits, completions and localizations
- Unstable Adams operations on classifying spaces
- Lambda-rings, binomial domains, and vector bundles over cp(∞)
- Maps between p-completed classifying spaces II
- Mappings Spaces of Compact Lie Groups and p-Adic Completion
- MAPPING DEGREES FOR CLASSIFYING SPACES, I
- Maps between classifying spaces
- Maps between classifying spaces
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