Locally finite approximation of Lie groups. I

DOI10.1007/BF01394416zbMath0566.55011OpenAlexW1997038682WikidataQ115393595 ScholiaQ115393595MaRDI QIDQ1059304

Eric M. Friedlander, Guido Mislin

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143321

zbMATH Keywords

classifying spacecompact Lie groupcohomology of classifying spaces of complex Lie groupshomotopy groups of mapping complexeslocally finite approximationmaps from classifying spaces

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Homotopy groups of special spaces (55Q52)

Related Items

Kernels of maps between classifying spaces ⋮ On phantom maps and a theorem of H. Miller ⋮ On the homotopy inverse limits of transfer maps ⋮ Rational homotopy of the (homotopy) fixed point sets of circle actions ⋮ Vector bundles over classifying spaces of compact Lie groups ⋮ The Mislin genus, phantom maps and classifying spaces ⋮ On the mod-\( \ell\) homology of the classifying space for commutativity ⋮ Locally finite approximation of Lie groups. II ⋮ Homotopical presentations and calculations of algebraic \(K_0\)-groups for rings of continuous functions ⋮ Generalized Eilenberg–Moore spectral sequences for elementary abelian groups and tori ⋮ Unstable Adams operations acting on \(p\)-local compact groups and fixed points ⋮ Fake Lie groups and maximal tori. I ⋮ Conjugacy classes of finite solvable subgroups in Lie groups ⋮ Maps between classifying spaces ⋮ Groups of homotopy classes of phantom maps ⋮ Maps between classifying spaces and applications ⋮ Galois descent and cohomology for algebraic groups ⋮ A note on Miller’s theorem about maps out of classifying spaces

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• Locally finite approximation of Lie groups. II
• PULLBACK THEOREMS AND PHANTOM MAPS