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arXiv · 0909.2143

Ensembles reguliers

Michel Zisman
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Abstract

We define an interesting sub-category of the category of simplicial sets, $\Sr$, whose objects are called regular. Both it and the subcategory ${\cal S}_{f-{\rm reg}}$ of finite regular simplicial sets have good stability properties under limits and union. The category ${\cal S}_{f-{\rm reg}}$ is cartesian closed, in contrast to the category of finite simplicial sets which is not cartesian closed.

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Michel Zisman. 2009-09-11. Ensembles reguliers. https://arxiv.org/abs/0909.2143

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