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arXiv · 2205.11054

Pretorsion theories in lextensive categories

Francis Borceux·Federico Campanini·Marino Gran
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Abstract

We propose a construction of a stable category for any pretorsion theory in a lextensive category. We prove the universal property of the stable category, that extends previous results obtained for the stable category of internal preorders in a pretopos. Some examples are provided in the categories of topological spaces and of (small) categories.

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Francis Borceux, Federico Campanini, Marino Gran. 2022-05-23. Pretorsion theories in lextensive categories. https://arxiv.org/abs/2205.11054

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