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Doubling bialgebras of finite topologies

Abstract : The species of finite topological spaces admits two graded bimonoid structures, recently defined by F. Fauvet, L. Foissy, and the second author. In this article, we define a doubling of this species in two different ways. We build a bimonoid structure on each of these species and describe a cointeraction between them. We also investigate two related associative products obtained by dualisation.
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https://hal.archives-ouvertes.fr/hal-03002352
Contributor : Dominique Manchon <>
Submitted on : Wednesday, December 16, 2020 - 10:37:20 PM
Last modification on : Thursday, February 25, 2021 - 10:32:02 AM

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  • HAL Id : hal-03002352, version 3
  • ARXIV : 2011.06967

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Mohamed Ayadi, Dominique Manchon. Doubling bialgebras of finite topologies. 2020. ⟨hal-03002352v3⟩

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