Cochains and homotopy type

Mandell, Michael A.

doi:10.1007/s10240-006-0037-6

Geodesic

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Cochains and homotopy type

Mandell, Michael A.

Publications Mathématiques de l'IHÉS, Tome 103 (2006), pp. 213-246

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Résumé

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

MR Zbl

DOI : 10.1007/s10240-006-0037-6

@article{PMIHES_2006__103__213_0,
     author = {Mandell, Michael A.},
     title = {Cochains and homotopy type},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {213--246},
     publisher = {Springer},
     volume = {103},
     year = {2006},
     doi = {10.1007/s10240-006-0037-6},
     mrnumber = {2233853},
     zbl = {1105.55003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-006-0037-6/}
}

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Mandell, Michael A. Cochains and homotopy type. Publications Mathématiques de l'IHÉS, Tome 103 (2006), pp. 213-246. doi: 10.1007/s10240-006-0037-6

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