Cofree coalgebras over operads II Homology invariance

Details Cofree coalgebras over operads II Homology invariance Cofree coalgebras over operads II Homology invariance

2004-04-26

arxiv.org/abs/math/0404470v2

Mathematics

Algebraic Topology

Scientific paper

This paper proves that homology equivalences of cogenerating complexes induce homology equivalences of the cofree coalgebras in many interesting cases. We show that the underlying chain complex of any cofree coalgebra is naturally a direct summand of the underlying chain-complex of a cofree coalgebra over a free operad. This is combined with the previous result to prove the homology invariance of all cofree coalgebras.

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