Doubling bialgebras of finite topologies
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
