Condensed Sets on Compact Hausdorff Spaces

Koji Yamazaki

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arXiv · 2211.13855

Condensed Sets on Compact Hausdorff Spaces

Koji Yamazaki

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Abstract

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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Koji Yamazaki. 2022-11-25. Condensed Sets on Compact Hausdorff Spaces. https://arxiv.org/abs/2211.13855

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