论文标题
拓扑凸空间的石材二元性
Stone Duality for Topological Convexity Spaces
论文作者
论文摘要
凸面空间是一组X，该集合在任意交叉点和定向工会下关闭了所选的子集（称为凸子集）。对既有凸空间又有拓扑空间结构的空间有很多兴趣。在本文中，我们研究了拓扑凸空间的类别，并将Coframes和拓扑空间之间的石材二元性扩展到拓扑凸空间和SUP-lattices之间的毗邻。我们通过前事物前空间（称为闭合空间）的类别来考虑此相关性。
A convexity space is a set X with a chosen family of subsets (called convex subsets) that is closed under arbitrary intersections and directed unions. There is a lot of interest in spaces that have both a convexity space and a topological space structure. In this paper, we study the category of topological convexity spaces and extend the Stone duality between coframes and topological spaces to an adjunction between topological convexity spaces and sup-lattices. We factor this adjunction through the category of preconvexity spaces (somtimes called closure spaces).
