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STABLE HOMOTOPY THEORY AND THE SPANIERWHITEHEAD
STABLE HOMOTOPY CATEGORIES
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A-module Adams additive algebra applying arbitrary argument assume axiom basic basis begin bounded Chapter cohomology functor colim colimit commuting diagram complete composite condition connected consider construction Conversely coproduct Corollary corresponding defined definition denote derived desired determined diagram element epimorphism equivalence exact sequence exact triangle example existence fact factors Finally finite type follows functor Further given gives graded groups hence homology groups immediate implies important induces injective isomorphism Lemma limit localization minimal module morphisms natural notion objects observed operation particular periodic presented prime problem projective PROOF properties Proposition prove relation represented resp respect restriction result ring rows satisfies Similarly smash product space spectra spectrum splitting stable stable homotopy Steenrod algebra structure suffices summand suppose Theorem theory torsion tower trivial turn unique weak