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math.CT2025
Extranatural transformations, adjunctions of two variables and conjugation
Simon Willerton
Adjunctions of two variables generalize the relationship between tensor product and the internal hom functor in a closed monoidal category. For a pair of ordinary adjunctions $(F\d…
math.CT2024
Metric-like spaces as enriched categories: three vignettes
Simon Willerton
This is a write-up of a talk given at the CATMI meeting in Bergen in July 2023, and is an introduction to a category-theoretic perspective on metric spaces. A metric space is a set…
math.CT2013★ 22 cited
Tight spans, Isbell completions and semi-tropical modules
Simon Willerton
In this paper we consider the categorical Isbell completion construction for generalized metric spaces in the sense of Lawvere. We show that this is an analogue of the tight span c…