Comonad cohomology of track categories

David Blanc; Simona Paoli

doi:10.1007/s40062-019-00235-2

Comonad cohomology of track categories

David Blanc, Simona Paoli

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We define a comonad cohomology of track categories, and show that it is related via a long exact sequence to the corresponding (S,O)-cohomology. Under mild hypotheses, the comonad cohomology coincides, up to reindexing, with the (S,O)-cohomology, yielding an algebraic description of the latter. We also specialize to the case where the track category is a 2-groupoid.

Original language	English
Pages (from-to)	881-917
Number of pages	37
Journal	Journal of Homotopy and Related Structures
Volume	14
Issue number	4
DOIs	https://doi.org/10.1007/s40062-019-00235-2
State	Published - 1 Dec 2019

Bibliographical note

Publisher Copyright:
© 2019, The Author(s).

Keywords

Comonad cohomology
Simplicial category
Track category

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.1007/s40062-019-00235-2

Cite this

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AB - We define a comonad cohomology of track categories, and show that it is related via a long exact sequence to the corresponding (S,O)-cohomology. Under mild hypotheses, the comonad cohomology coincides, up to reindexing, with the (S,O)-cohomology, yielding an algebraic description of the latter. We also specialize to the case where the track category is a 2-groupoid.

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KW - Simplicial category

KW - Track category

UR - https://www.scopus.com/pages/publications/85074343298

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Comonad cohomology of track categories

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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