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arXiv · 2511.10513

A convenient category of locales

Moncef Ghazel·Inès Saihi·Walid Taamallah
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Abstract

The notion of Kan extendable subcategories was initially introduced to define the category of compactly generated fibrewise topological spaces over a T1 base space and to establish its cartesian closure. In this paper, we show that the same framework can likewise be applied to define the category of compactly generated strongly Hausdorff locales and to prove that it, too, is cartesian closed

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Moncef Ghazel, Inès Saihi, Walid Taamallah. 2025-11-13. A convenient category of locales. https://arxiv.org/abs/2511.10513

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