English

Introductory notes on real-enriched categories

Category Theory 2024-07-31 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2403.09716,
  title  = {Introductory notes on real-enriched categories},
  author = {Dexue Zhang},
  journal= {arXiv preprint arXiv:2403.09716},
  year   = {2024}
}

Comments

116 pages

R2 v1 2026-06-28T15:20:40.061Z