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Comonad Cohomology of Track Categories

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journal contribution
posted on 30.04.2019, 14:57 by David Blanc, Simona Paoli
We define a comonad cohomology of track categories and we show it is linked by a long exact sequence to its Dwyer-Kan-Smith cohomology . Under mild hypothesis on the track category, we show that its comonad cohomology coincides, up to dimension shift, with its Dwyer-Kan-Smith cohomology, therefore obtaining an algebraic formulation of the latter. We also specialize our results to the case where the track category is a $2$-groupoid.

Funding

s. The first author was supported by the Israel Science Foundation grants 74/11 and 770/16. The second author would like to thank the Department of Mathematics of the University of Haifa for its hospitality during several visits.

History

Citation

Journal of Homotopy and Related Structures, 2019

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

AM (Accepted Manuscript)

Published in

Journal of Homotopy and Related Structures

Publisher

Springer (part of Springer Nature)

eissn

1512-2891

Copyright date

2019

Available date

17/08/2019

Publisher version

https://link.springer.com/article/10.1007/s40062-019-00235-2

Language

en

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