Rectifying partial algebras over operads of complexes |
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Authors: | Scott O Wilson |
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Institution: | 303 Kiely Hall, 65-30 Kissena, Blvd., Flushing, NY 11367, USA |
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Abstract: | Kriz and May (1995) 2] introduced partial algebras over an operad. In this paper we prove that, in the category of chain complexes, partial algebras can be functorially replaced by quasi-isomorphic algebras. In particular, partial algebras contain all of the important homological and homotopical information that genuine algebras do. Applying this result to McClure's partial algebra in McClure (2006) 5] shows that the chains of a PL-manifold are quasi-isomorphic to an E∞-algebra. |
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Keywords: | Partial algebra Operad Chains |
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