论文标题
有限拓扑的双重双重
Doubling bialgebras of finite topologies
论文作者
论文摘要
有限拓扑空间的种类允许两种分级的双子体结构，这些结构最近由F. fauvet，L。Foissy和第二作者定义。在本文中，我们以两种不同的方式定义了该物种的加倍。我们在每个物种上都建立了双肌体结构，并描述了它们之间的共同互动。我们还研究了通过双重化获得的两种相关的关联产品。
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.
