Cochains and Homotopy Type

Details Cochains and Homotopy Type Cochains and Homotopy Type

2003-11-03

arxiv.org/abs/math/0311016v1

Publ. Math. IHES, 103 (2006), 213-246

Mathematics

Algebraic Topology

Scientific paper

10.1007/s10240-006-0037-6

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

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