Cochains and homotopy type
Mandell, Michael A.
Publications Mathématiques de l'IHÉS, Tome 104 (2006), p. 213-246 / Harvested from Numdam
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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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     author = {Mandell, Michael A.},
     title = {Cochains and homotopy type},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     volume = {104},
     year = {2006},
     pages = {213-246},
     doi = {10.1007/s10240-006-0037-6},
     mrnumber = {2233853},
     zbl = {1105.55003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/PMIHES_2006__103__213_0}
}

Mandell, Michael A. Cochains and homotopy type. Publications Mathématiques de l'IHÉS, Tome 104 (2006) pp. 213-246. doi : 10.1007/s10240-006-0037-6. http://gdmltest.u-ga.fr/item/PMIHES_2006__103__213_0/

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