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Cochains and homotopy type

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Abstract

Finite type nilpotent spaces are weakly equivalent if and only if their singular cochains are quasi-isomorphic as E∞ algebras. The cochain functor from the homotopy category of finite type nilpotent spaces to the homotopy category of E∞ algebras is faithful but not full.

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Authors and Affiliations

  1. Department of Mathematics, Rawles Hall, Indiana University, Bloomington, IN, 47405, USA

    Michael A. Mandell

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  1. Michael A. Mandell
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Mandell, M. Cochains and homotopy type. Publ.math.IHES 103, 213–246 (2006). https://doi.org/10.1007/s10240-006-0037-6

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  • DOI: https://doi.org/10.1007/s10240-006-0037-6

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