Introductory notes on real-enriched categories
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.
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