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arXiv · 1808.09738

A characterisation of the category of compact Hausdorff spaces

Vincenzo Marra·Luca Reggio
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Abstract

We provide a characterisation of the category KH of compact Hausdorff spaces and continuous maps by means of categorical properties only. To this aim we introduce a notion of filtrality for coherent categories, relating certain lattices of subobjects to their Boolean centers. Our main result reads as follows: Up to equivalence, KH is the unique non-trivial well-pointed pretopos which is filtral and admits all set-indexed copowers of its terminal object.

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Vincenzo Marra, Luca Reggio. 2018-08-29. A characterisation of the category of compact Hausdorff spaces. https://arxiv.org/abs/1808.09738

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