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A RATIONAL HOMOTOPY THEORY
GROUP COHOMOLOGY ACTIONS
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a-structured abelian group Adams ANR-system assume AZ,d based homotopy canonical classifying space cohomology coker compact composition connected Conner-Floyd construction Corollary correspondence CW-complex decomposition defined denote elements exact sequence example exists exponential law F-algebra family of primes fibration fibre preserving maps finite complex finite type Fix(f follows free homotopy function space functor given Grounded Universal H-space Hasse Principle hence homologically finite homology homotopy classes homotopy equivalence homotopy theory homotopy type Hurewicz fibrations induced inverse system isomorphism K-theory Lemma let f localization manifolds maps f Math metric morphisms natural transformation nilpotent group nilpotent spaces normal bundle obtain open neighborhood orbit sets P-localization pair Peter Hilton principal G-bundle properties Proposition prove pullback restriction result S-map shape map shape theory smooth spectral sequence stab f stable homotopy Steenrod structure subgroup subset topological group topological spaces topology trivial uniformly movable Whitehead theorem