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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Homology, Homotopy and Applications