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Category Theory

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Total of 28 entries : 1-25 26-28
Showing up to 25 entries per page: fewer | more | all

Fri, 21 Jun 2024 (showing 10 of 10 entries )

[1] arXiv:2406.14346 [pdf, html, other]
Title: Atomic Toposes with Co-Well-Founded Categories of Atoms
Jérémie Marquès
Subjects: Category Theory (math.CT); Logic (math.LO)
[2] arXiv:2406.13647 [pdf, html, other]
Title: Inner automorphisms as 2-cells
Pieter Hofstra, Martti Karvonen
Journal-ref: Theory and Applications of Categories, Vol. 42, No. 2, 2024, pp. 19-40
Subjects: Category Theory (math.CT)
[3] arXiv:2406.13398 [pdf, other]
Title: Non-additive derived functors
Maxime Culot, Fara Renaud, Tim Van der Linden
Comments: 43 pages
Subjects: Category Theory (math.CT)
[4] arXiv:2406.13240 [pdf, other]
Title: $\omega$-weak equivalences between weak $\omega$-categories
Soichiro Fujii, Keisuke Hoshino, Yuki Maehara
Comments: 25 pages. Comments welcome!
Subjects: Category Theory (math.CT)
[5] arXiv:2406.14320 (cross-list from hep-th) [pdf, html, other]
Title: Anyon condensation in mixed-state topological order
Ken Kikuchi, Kah-Sen Kam, Fu-Hsiang Huang
Comments: 52 pages, 14 figures
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph); Category Theory (math.CT); Quantum Physics (quant-ph)
[6] arXiv:2406.14031 (cross-list from math.RT) [pdf, html, other]
Title: Model structure arising from one hereditary cotorsion pair on extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Panyue Zhou
Comments: 23 pages
Subjects: Representation Theory (math.RT); Category Theory (math.CT)
[7] arXiv:2406.13866 (cross-list from math.KT) [pdf, html, other]
Title: Finite group actions on dg categories and Hochschild homology
Ville Nordstrom
Subjects: K-Theory and Homology (math.KT); Algebraic Geometry (math.AG); Category Theory (math.CT)
[8] arXiv:2406.13841 (cross-list from math.RT) [pdf, html, other]
Title: Kac-Moody algebras in Deligne's Category
Ivan Motorin
Subjects: Representation Theory (math.RT); Category Theory (math.CT); Quantum Algebra (math.QA)
[9] arXiv:2406.13438 (cross-list from math.RT) [pdf, other]
Title: Computing the center of a fusion category
Fabian Mäurer, Ulrich Thiel
Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Category Theory (math.CT); Quantum Algebra (math.QA)
[10] arXiv:2406.13088 (cross-list from math.AG) [pdf, html, other]
Title: Stratification of Derived Categories of Tate Motives
David Rubinstein
Subjects: Algebraic Geometry (math.AG); Category Theory (math.CT); K-Theory and Homology (math.KT)

Wed, 19 Jun 2024 (showing 4 of 4 entries )

[11] arXiv:2406.12617 [pdf, other]
Title: Enriched concepts of regular logic
Jiří Rosický, Giacomo Tendas
Comments: 39 pages
Subjects: Category Theory (math.CT)
[12] arXiv:2406.12127 [pdf, other]
Title: Invertible cells in $\omega$-categories
Thibaut Benjamin, Ioannis Markakis
Subjects: Category Theory (math.CT); Logic in Computer Science (cs.LO)
[13] arXiv:2406.12486 (cross-list from math.GN) [pdf, html, other]
Title: The DeMorganization of a locale
Igor Arrieta
Subjects: General Topology (math.GN); Category Theory (math.CT)
[14] arXiv:2406.11964 (cross-list from hep-th) [pdf, other]
Title: Dualities and Categorical Structures from 2D Up
Veronica Pasquarella
Comments: author's PhD thesis (based on the official version submitted for dissertation); 320 pages (the original version was 442 pages due to different font type)
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Category Theory (math.CT); Quantum Algebra (math.QA)

Tue, 18 Jun 2024 (showing 7 of 7 entries )

[15] arXiv:2406.11076 [pdf, other]
Title: Bundles of metric structures as left ultrafunctors
Ali Hamad
Subjects: Category Theory (math.CT); Functional Analysis (math.FA); Logic (math.LO)
[16] arXiv:2406.10624 [pdf, html, other]
Title: Enriched aspects of calculus of relations and $2$-permutability
Maria Manuel Clementino, Diana Rodelo
Subjects: Category Theory (math.CT)
[17] arXiv:2406.11814 (cross-list from stat.ML) [pdf, other]
Title: Stochastic Neural Network Symmetrisation in Markov Categories
Rob Cornish
Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Category Theory (math.CT)
[18] arXiv:2406.11722 (cross-list from math.MG) [pdf, html, other]
Title: Magnitude homology equivalence of Euclidean sets
Adrián Doña Mateo, Tom Leinster
Comments: 22 pages
Subjects: Metric Geometry (math.MG); Algebraic Topology (math.AT); Category Theory (math.CT)
[19] arXiv:2406.11226 (cross-list from math.RT) [pdf, other]
Title: Exact dg categories II : The embedding theorem
Xiaofa Chen
Comments: This paper is a revised and augmented version of the second part of the author's Ph.D thesis arXiv:2306.08231; 45 pages; comments are very welcome
Subjects: Representation Theory (math.RT); Category Theory (math.CT); K-Theory and Homology (math.KT)
[20] arXiv:2406.11221 (cross-list from math.FA) [pdf, html, other]
Title: Symmetric monoidal categories of conveniently-constructible Banach bundles
Alexandru Chirvasitu
Comments: 22 pages + references
Subjects: Functional Analysis (math.FA); Category Theory (math.CT); General Topology (math.GN); Operator Algebras (math.OA); Rings and Algebras (math.RA)
[21] arXiv:2406.11154 (cross-list from math.AT) [pdf, other]
Title: Fuzzy simplicial sets and their application to geometric data analysis
Lukas Silvester Barth, Fatemeh (Hannaneh)Fahimi, Parvaneh Joharinad, Jürgen Jost, Janis Keck, Thomas Jan Mikhail
Subjects: Algebraic Topology (math.AT); Category Theory (math.CT); Metric Geometry (math.MG)

Mon, 17 Jun 2024 (showing 3 of 3 entries )

[22] arXiv:2406.10071 [pdf, html, other]
Title: Right-preordered groups from a categorical perspective
Maria Manuel Clementino, Andrea Montoli
Subjects: Category Theory (math.CT)
[23] arXiv:2406.09832 [pdf, other]
Title: On bi-enriched $\infty$-categories
Hadrian Heine
Comments: arXiv admin note: substantial text overlap with arXiv:2406.08925
Subjects: Category Theory (math.CT); Algebraic Topology (math.AT)
[24] arXiv:2406.10009 (cross-list from math.QA) [pdf, html, other]
Title: Matched pairs and Yetter-Drinfeld braces
Davide Ferri, Andrea Sciandra
Comments: 29 pages
Subjects: Quantum Algebra (math.QA); Category Theory (math.CT); Rings and Algebras (math.RA); Representation Theory (math.RT)

Fri, 14 Jun 2024 (showing first 1 of 4 entries )

[25] arXiv:2406.08925 [pdf, other]
Title: The higher algebra of weighted colimits
Hadrian Heine
Subjects: Category Theory (math.CT); Algebraic Topology (math.AT)
Total of 28 entries : 1-25 26-28
Showing up to 25 entries per page: fewer | more | all