论文标题
通过含量富含数量的类别的分类拓扑密度
Density in categorical topology via quantaloid-enriched categories
论文作者
论文摘要
基于Garner的发现,拓扑类别是富含数量的总类别,本文介绍了一系列与定量拓扑中的初始密度和最终密度相关的结果,该类别通过(CO)富含数量的类别中的(CO)密度,重点关注(共同)Sierpiński对象,Galois对应于(Galois及其固定点)。
Based on Garner's discovery that topological categories are total categories enriched in a quantaloid, this paper presents a series of results related to initial and final density in categorical topology via (co)density in quantaloid-enriched categories, focusing on (co-)Sierpiński objects, Galois correspondences and their fixed points.