Doubling bialgebras of finite topologies
Rings and Algebras
2021-08-18 v3
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.
Cite
@article{arxiv.2011.06967,
title = {Doubling bialgebras of finite topologies},
author = {Mohamed Ayadi and Dominique Manchon},
journal= {arXiv preprint arXiv:2011.06967},
year = {2021}
}
Comments
Version 3. Extended introduction and bibliography