Compact Hausdorff Locales in presheaf toposes

Simon Henry; Christopher Townsend

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arXiv · 2208.04228

Compact Hausdorff Locales in presheaf toposes

Simon Henry·Christopher Townsend

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Abstract

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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Simon Henry, Christopher Townsend. 2022-08-08. Compact Hausdorff Locales in presheaf toposes. https://arxiv.org/abs/2208.04228

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