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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…