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Cochains and homotopy type |
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| Authors: | Michael A. Mandell |
| Affiliation: | (1) Department of Mathematics, Rawles Hall, Indiana University, Bloomington, IN 47405, USA |
| 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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