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Showing 2025 · math.CTShow all
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math.CT2025
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
Additive Enrichment from Coderelictions
Jean-Simon Pacaud Lemay
Differential linear categories provide the categorical semantics of the multiplicative and exponential fragments of Differential Linear Logic. Briefly, a differential linear catego…
math.CT2025
Dagger-Drazin Inverses
Robin Cockett, Jean-Simon Pacaud Lemay, Priyaa Varshinee Srinivasan
Drazin inverses are a special kind of generalized inverses that can be defined for endomorphisms in any category. A natural question to ask is whether one can somehow extend the no…