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TWISTED PRE-LIE ALGEBRAS OF FINITE TOPOLOGICAL SPACES

Mohamed Ayadi
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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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Dates and versions

hal-03213012 , version 1 (30-04-2021)

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