Displaying similar documents to “K-theory and the enriched Tits building.”

On the homology of mapping spaces

Semën Podkorytov (2011)

Open Mathematics

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Following a Bendersky-Gitler idea, we construct an isomorphism between Anderson’s and Arone’s complexes modelling the chain complex of a mapping space. This allows us to apply Shipley’s convergence theorem to Arone’s model. As a corollary, we reduce the problem of homotopy equivalence for certain “toy” spaces to a problem in homological algebra.