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Elementary Properties of the Category of CWSpectra
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abelian group Adams spectral sequence algebra assume axiom boundary buAbu buAX bundle cofibering cofinal cohomology theory commutative diagram comodule completes the proof complex components consider construct corresponding CW-complexes CW-complexes with base-point CW-spectrum define diagram is commutative dimension direct limits duality E-complete E-equivalence Eilenberg-Steenrod element EP(X exact sequence example filtration finite spectrum finite-dimensional following commutative diagram following diagram function functor generalised homology give homology and cohomology homomorphism homotopy class homotopy equivalence homotopy groups induces an isomorphism J. H. C. Whitehead K-theory Kronecker product Lemma 17 manifold map f morphism morphism of degree obvious open pair ordinary homology orientation polynomial properties Proposition prove quotient R-module result ring-spectrum satisfies Similarly smash products spectra spectral sequence stable cells stable homotopy subcomplex Suppose given Susp(X Tel(X trivial universal coefficient theorem zero