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math.CT2026
Nerves of generalized multicategories
Soichiro Fujii, Stephen Lack
For any category and monad thereon, we introduce the notion of -simplicial object in . Any -category in the sense of Burroni induces a -si…
math.CT2025
The familial nature of enrichment over virtual double categories
Soichiro Fujii, Stephen Lack
Originally enriched categories were defined over a monoidal category, but it was gradually realized that important examples can only be included when one enriches over more general…
math.CT2025
A characterisation for the category of Hilbert spaces
Stephen Lack, Shay Tobin
The categories of real and of complex Hilbert spaces with bounded linear maps have received purely categorical characterisations by Chris Heunen and Andre Kornell. These characteri…