Rectifying Partial Algebras Over Operads of Complexes

Details Rectifying Partial Algebras Over Operads of Complexes Rectifying Partial Algebras Over Operads of Complexes

2004-10-18

arxiv.org/abs/math/0410405v2

Topology and Its Appl., Vol 157, Issue 18, Dec. 1, 2010, 2880-2888

Mathematics

Algebraic Topology

largely rewritten

Scientific paper

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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