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arXiv · 2108.11952

Model categories for o-minimal geometry

Reid Barton·Johan Commelin
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Abstract

We introduce a model category of spaces based on the definable sets of an o-minimal expansion of a real closed field. As a model category, it resembles the category of topological spaces, but its underlying category is a coherent topos. We will show in future work that its cofibrant objects are precisely the "weak polytopes" of Knebusch.

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Reid Barton, Johan Commelin. 2021-08-26. Model categories for o-minimal geometry. https://arxiv.org/abs/2108.11952

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