Results 11 to 20 of about 1,625,403 (282)
Topological field theories and symmetry protected topological phases with fusion category symmetries [PDF]
Journal of High Energy Physics, 2021 Fusion category symmetries are finite symmetries in 1+1 dimensions described by unitary fusion categories. We classify 1+1d time-reversal invariant bosonic symmetry protected topological (SPT) phases with fusion category symmetry by using topological ...
Kansei Inamura
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The tangent functor category revisited
Indagationes Mathematicae (Proceedings), 1986 Gonzalo E. Reyes, leke Moerdijk
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t-Structures with Grothendieck hearts via functor categories [PDF]
Selecta Mathematica, 2020 We study when the heart of a t -structure in a triangulated category $$\mathcal {D}$$ D with coproducts is AB5 or a Grothendieck category. If $$\mathcal {D}$$ D satisfies Brown representability, a t -structure has an AB5 heart with an injective ...
Manuel Saor'in, Jan Št’ovíček
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Strongly Complete Logics for Coalgebras [PDF]
Logical Methods in Computer Science, 2012 Coalgebras for a functor model different types of transition systems in a uniform way. This paper focuses on a uniform account of finitary logics for set-based coalgebras.
Alexander Kurz, Jiri Rosicky
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On $\ast$-measure monads on the category of ultrametric spaces
Karpatsʹkì Matematičnì Publìkacìï, 2022 The functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors.
Kh.O. Sukhorukova, M.M. Zarichnyi
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A Category Theoretic Interpretation of Gandy's Principles for Mechanisms [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 Based on Gandy's principles for models of computation we give category-theoretic axioms describing locally deterministic updates to finite objects. Rather than fixing a particular category of states, we describe what properties such a category should ...
Joseph Razavi, Andrea Schalk
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Gabriel localization in functor categories [PDF]
Communications in Algebra, 2021 P. Gabriel showed that for an unital ring $R$, there exists a bijective correspondence between the set of Gabriel filters of $R$ and the set of Giraud subcategories of $\mathrm{Mod}(R)$ (see \cite[Lemme 1]{Gabriel1} on page 412). In this paper we prove analogous of Gabriel's result: for a small preadditive category $\mathcal{C}$, there exists a ...
Valente Santiago-Vargas +2 more
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A Shortcut from Categorical Quantum Theory to Convex Operational Theories [PDF]
Electronic Proceedings in Theoretical Computer Science, 2018 This paper charts a very direct path between the categorical approach to quantum mechanics, due to Abramsky and Coecke, and the older convex-operational approach based on ordered vector spaces (recently reincarnated as "generalized probabilistic theories"
Alexander Wilce
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Enriched functor categories for functor calculus
Topology and its Applications, 2022 In this paper we present background results in enriched category theory and enriched model category theory necessary for developing model categories of enriched functors suitable for doing functor calculus.
Bandklayder, L. +4 more
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Crossed Corner and Reduced Simplicial Commutative Algebras
Journal of New Theory, 2023 In this paper, we describe the crossed corner of commutative algebras and present the relation between the category of crossed corners of commutative algebras and the category of reduced simplicial commutative algebras with Moore complex of length 2.
Özgün Gürmen Alansal
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