On homology of map spaces

Details On homology of map spaces On homology of map spaces

2011-02-08

arxiv.org/abs/1102.1645v1

Mathematics

Algebraic Topology

9 pages

Scientific paper

Following an idea of Bendersky-Gitler, we construct an isomorphism between
Anderson's and Arone's complexes modelling the chain complex of a map 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.

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