A new construction relating enriched categories and internal ones in an extensive ambient

Matteo Di Domenico

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arXiv · 2208.01117

A new construction relating enriched categories and internal ones in an extensive ambient

Matteo Di Domenico

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Abstract

A new construction to associate an internal category to an enriched one is presented. The key concept is that of extensive ambient category, and the construction follows the one that associates a category whose idempotents split to a given one. The association turns out to be functorial and left adjoint to an already known one when we restrict to a particular class of internal categories whose idempotents split in some canonical way and impose a size restriction.

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Matteo Di Domenico. 2022-08-01. A new construction relating enriched categories and internal ones in an extensive ambient. https://arxiv.org/abs/2208.01117

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