Rectifying partial algebras over operads of complexes

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Rectifying Partial Algebras over Operads of Complexes

In [2] Kriz and May 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 [6] shows th...

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2010

ISSN: 0166-8641

DOI: 10.1016/j.topol.2010.09.009