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TWISTED PRE-LIE ALGEBRAS OF FINITE TOPOLOGICAL SPACES

Abstract : In this paper, we first study the species of finite topological spaces recently considered by F. Fauvet, L. Foissy, and D. Manchon. Then, we construct a twisted pre-Lie structure on the species of connected finite topological spaces. The underlying pre-Lie structure defines a coproduct on the species of finite topological spaces different from those already defined by the Authors above. In the end, we illustrate the link between the Grossman-Larson product and the proposed coproduct.
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Preprints, Working Papers, ...
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https://hal-upec-upem.archives-ouvertes.fr/hal-03213012
Contributor : Mohamed Ayadi Connect in order to contact the contributor
Submitted on : Friday, April 30, 2021 - 10:16:10 AM
Last modification on : Wednesday, May 5, 2021 - 3:40:05 AM
Long-term archiving on: : Saturday, July 31, 2021 - 6:21:41 PM

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  • HAL Id : hal-03213012, version 1
  • ARXIV : 2105.01323

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Mohamed Ayadi. TWISTED PRE-LIE ALGEBRAS OF FINITE TOPOLOGICAL SPACES. 2021. ⟨hal-03213012⟩

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