Homology, Homotopy and Applications

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

Tilman Bauer and Assaf Libman

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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 $R$.

Article information

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

Dates
First available in Project Euclid: 1 September 2009

Permanent link to this document
https://projecteuclid.org/euclid.hha/1251832593

Mathematical Reviews number (MathSciNet)
MR2529233

Zentralblatt MATH identifier
1190.55004

Subjects
Primary: 55P60: Localization and completion 18D50: Operads [See also 55P48] 18C15: Triples (= standard construction, monad or triad), algebras for a triple, homology and derived functors for triples [See also 18Gxx]

Keywords
$A∞$-monad completion cobar resolution

Citation

Bauer, Tilman; Libman, Assaf. A simplicial $A∞$-operad acting on $R$-resolutions. Homology Homotopy Appl. 11 (2009), no. 2, 55--73. https://projecteuclid.org/euclid.hha/1251832593


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