论文标题

紧凑的Hausdorff空间上的凝结套件

Condensed Sets on Compact Hausdorff Spaces

论文作者

Yamazaki, Koji

论文摘要

凝结的集合是石材空间和连续地图的捆绑。我们证明,凝结的集合等同于紧凑的Hausdorff空间和连续地图上的束带。作为一个应用程序,我们表明存在凝结集类别的模型结构。

A condensed set is a sheaf on the site of Stone spaces and continuous maps. We prove that condensed sets are equivalent to sheaves on the site of compact Hausdorff spaces and continuous maps. As an application, we show that there exists a model structure on the category of condensed sets.

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