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Rectifying Partial Algebras Over Operads of Complexes

Scott O. Wilson
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Abstract

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 [6] shows that the chains of a PL-manifold are quasi-isomorphic to an E-infinity algebra.

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Scott O. Wilson. 2004-10-18. Rectifying Partial Algebras Over Operads of Complexes. https://arxiv.org/abs/math/0410405

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