Homology, Homotopy and Applications

A simplicial $A∞$-operad acting on $R$-resolutions

Tilman Bauer and Assaf Libman

Source: Homology Homotopy Appl. Volume 11, Number 2 (2009), 55-73.

Abstract

We construct a combinatorial model of an $A∞$-operad which acts simplicially on the cobar resolution (not just its total space) of a simplicial set with respect to a ring $R$.

Primary Subjects: 55P60, 18D50, 18C15
Keywords: $A∞$-monad; completion; cobar resolution

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.hha/1251832593
Zentralblatt MATH identifier: 05595888
Mathematical Reviews number (MathSciNet): MR2529233


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