论文标题

Presheaf Persoses中紧凑的Hausdorff地区

Compact Hausdorff Locales in presheaf toposes

论文作者

Henry, Simon, Townsend, Christopher

论文摘要

我们证明,对于任何小型类别$ \ MATHCAL {C} $,类别$ \ Mathbf {Khausloc} _ {\ hat {\ hat {\ hatcal {\ hatcal {c}} $ compact hausdorff e presheaf presheaf topos $ \ hat fort { $ \ Mathcal {C} \ to \ Mathbf {Khausloc} $。

We prove that for any small category $\mathcal{C}$, the category $\mathbf{KHausLoc}_{\hat{\mathcal{C}}}$ of compact Hausdorff locales in the presheaf topos $\hat{\mathcal{C}}$, is equivalent to the category of functors $\mathcal{C} \to \mathbf{KHausLoc}$.

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