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Algebra Letters ISSN 2051-5502

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Algebra Lett. 2023 (2023), Article ID 1

Note on the homology equivalence of topological operads

Hicham Yamoul

Abstract

In this paper, we prove that the equivalence homotopy of topological operads gives rise to an associated equivalence of monads in the category of K-modules when K is of characteristic zero. Some consequences hold in the case of topological monoids associated to group operads.

Published
6 March 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Hicham Yamoul. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

H. Yamoul, Note on the homology equivalence of topological operads, Algebra Lett. 2023 (2023), 1. https://doi.org/10.28919/al/7724

BibTeX
@article{Yamoul2023,
  author  = {Yamoul, Hicham},
  title   = {Note on the homology equivalence of topological operads},
  journal = {Algebra Lett.},
  volume  = {2023},
  year    = {2023},
  pages   = {1},
  doi     = {10.28919/al/7724}
}