Introductory notes on real-enriched categories

Fuente: arXiv
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Autor principal: Zhang, Dexue
Formato: Preprint
Publicado: 2024
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author Zhang, Dexue
author_facet Zhang, Dexue
contents Real-enriched categories are categories with real numbers as enrichment. Precisely, a real-enriched category is a category enriched over the commutative and unital quantale composed of the unit interval and a continuous t-norm. These notes present a brief introduction to such categories, focusing on the presheaf monad and its submonads in the category of real-enriched categories.
format Preprint
id arxiv_https___arxiv_org_abs_2403_09716
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Introductory notes on real-enriched categories
Zhang, Dexue
Category Theory
18B35, 18C15, 18C20, 18D15, 18D20
Real-enriched categories are categories with real numbers as enrichment. Precisely, a real-enriched category is a category enriched over the commutative and unital quantale composed of the unit interval and a continuous t-norm. These notes present a brief introduction to such categories, focusing on the presheaf monad and its submonads in the category of real-enriched categories.
title Introductory notes on real-enriched categories
topic Category Theory
18B35, 18C15, 18C20, 18D15, 18D20
url https://arxiv.org/abs/2403.09716