Ensembles reguliers

Details Ensembles reguliers Ensembles reguliers

2009-09-11

arxiv.org/abs/0909.2143v1

Mathematics

Algebraic Topology

10 pages, 2 figures

Scientific paper

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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