Category Theory

Authors and titles for math.CT in Mar 2024

[1]  arXiv:2403.00695 [pdf, ps, other]

Title: Generation time for biexact functors and Koszul objects in triangulated categories

Authors: Janina C. Letz, Marc Stephan

Comments: 32 pages, comments are welcome

Subjects: Category Theory (math.CT); Algebraic Topology (math.AT)

[2]  arXiv:2403.01167 [pdf, ps, other]

Title: Lurie's Unstraightening as a weak biequivalence of $\infty$-cosmoses

Authors: Raffael Stenzel

Subjects: Category Theory (math.CT)

[3]  arXiv:2403.01651 [pdf, ps, other]

Title: Dagger $n$-categories

Authors: Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd, Cameron Krulewski, Lukas Müller, Nivedita, David Penneys, David Reutter, Claudia Scheimbauer, Luuk Stehouwer, Chetan Vuppulury

Comments: 18 pages; v2 corrected definition of dagger $(\infty,n)$-category with unitary duality

Subjects: Category Theory (math.CT); Mathematical Physics (math-ph); Algebraic Topology (math.AT); Quantum Algebra (math.QA)

[4]  arXiv:2403.01939 [pdf, other]

Title: A Type Theory with a Tiny Object

Authors: Mitchell Riley

Comments: 29 pages

Subjects: Category Theory (math.CT); Programming Languages (cs.PL); Logic (math.LO)

[5]  arXiv:2403.02672 [pdf, ps, other]

Title: A note on the slicing of fibrations

Authors: Ruggero Pagnan

Subjects: Category Theory (math.CT)

[6]  arXiv:2403.03085 [pdf, ps, other]

Title: A 2-categorical analysis of context comprehension

Authors: Greta Coraglia, Jacopo Emmenegger

Subjects: Category Theory (math.CT); Logic in Computer Science (cs.LO); Logic (math.LO)

[7]  arXiv:2403.03211 [pdf, ps, other]

Title: Extension Theory and Fermionic Strongly Fusion 2-Categories

Authors: Thibault D. Décoppet

Comments: Previously part of arXiv:2311.16827v1

Subjects: Category Theory (math.CT); Quantum Algebra (math.QA)

[8]  arXiv:2403.03647 [pdf, ps, other]

Title: The elementary theory of the 2-category of small categories

Authors: Calum Hughes, Adrian Miranda

Comments: 36 pages

Subjects: Category Theory (math.CT); Logic (math.LO)

[9]  arXiv:2403.04220 [pdf, ps, other]

Title: Recollements and $n$-cotorsion pairs

Authors: Weiqing Cao, Jiaqun Wei, Kaili Wu

Subjects: Category Theory (math.CT)

[10]  arXiv:2403.05032 [pdf, other]

Title: Liftings of point-wise finite dimensional persistence modules over local commutative Artinian rings

Authors: José A. Vélez-Marulanda

Subjects: Category Theory (math.CT)

[11]  arXiv:2403.06244 [pdf, ps, other]

Title: Quotient Category of a Multiring Category

Authors: Zhenbang Zuo, Gongxiang Liu

Subjects: Category Theory (math.CT)

[12]  arXiv:2403.06911 [pdf, other]

Title: Homotopical commutative rings and bispans

Authors: Bastiaan Cnossen, Rune Haugseng, Tobias Lenz, Sil Linskens

Comments: 34 pages

Subjects: Category Theory (math.CT); Algebraic Topology (math.AT)

[13]  arXiv:2403.06926 [pdf, ps, other]

Title: Sheaves of $(\infty, \infty)$-categories

Authors: Zach Goldthorpe

Comments: 22 pages; corrected Definition 2.2.2 and the definition of the category of fixed points in Theorem 3.4.3

Subjects: Category Theory (math.CT)

[14]  arXiv:2403.07768 [pdf, other]

Title: Higher Witt Groups for 2-Categories I: Centralizers

Authors: Hao Xu

Comments: Comments welcome!

Subjects: Category Theory (math.CT)

[15]  arXiv:2403.08030 [pdf, ps, other]

Title: 2-stacks over bisites

Authors: Elena Caviglia

Subjects: Category Theory (math.CT); Algebraic Geometry (math.AG)

[16]  arXiv:2403.08087 [pdf, ps, other]

Title: Hochschild cohomology in toposes

Authors: Cameron Michie, Ivan Tomasic

Subjects: Category Theory (math.CT); Logic (math.LO); Rings and Algebras (math.RA)

[17]  arXiv:2403.08190 [pdf, ps, other]

Title: Generalized Chevalley criteria in simplicial homotopy type theory

Authors: Jonathan Weinberger

Comments: 19 pages. This text is based on Appendix A from author's PhD thesis arXiv:2202.13132. Comments welcome!

Subjects: Category Theory (math.CT); Logic in Computer Science (cs.LO); Algebraic Topology (math.AT); Logic (math.LO)

[18]  arXiv:2403.09264 [pdf, ps, other]

Title: Sketches and Classifying Logoi

Authors: Ivan Di Liberti, Gabriele Lobbia

Comments: 39 pages. Comments are welcome!

Subjects: Category Theory (math.CT); Logic (math.LO)

[19]  arXiv:2403.09379 [pdf, ps, other]

Title: Principal 2-bundles and quotient 2-stacks

Authors: Elena Caviglia

Subjects: Category Theory (math.CT); Algebraic Geometry (math.AG)

[20]  arXiv:2403.09478 [pdf, ps, other]

Title: A syntactic characterization of weakly Mal'tsev varieties

Authors: Nadja Egner, Pierre-Alain Jacqmin, Nelson Martins-Ferreira

Comments: 41 pages, accepted to the special volume of Theory and Applications of Categories in honour of Pieter Hofstra

Subjects: Category Theory (math.CT); Rings and Algebras (math.RA)

[21]  arXiv:2403.09716 [pdf, ps, other]

Title: Introductory notes on real-enriched categories

Authors: Dexue Zhang

Comments: 111 pages

Subjects: Category Theory (math.CT)

[22]  arXiv:2403.10447 [pdf, ps, other]

Title: Free Doubly-Infinitary Distributive Categories are Cartesian Closed

Authors: Fernando Lucatelli Nunes, Matthijs Vákár

Comments: 16 pages, minor, corrected some typos, added references

Subjects: Category Theory (math.CT); Logic in Computer Science (cs.LO); Programming Languages (cs.PL); Logic (math.LO)

[23]  arXiv:2403.12750 [pdf, ps, other]

Title: Galois theory and homology in quasi-abelian functor categories

Authors: Nadja Egner

Comments: 21 pages

Subjects: Category Theory (math.CT); K-Theory and Homology (math.KT)

[24]  arXiv:2403.13165 [pdf, ps, other]

Title: Simplification & Incidence: How an Incidence-focused Perspective Patches Category-theoretic Problems in Graph Theory

Authors: Will Grilliette

Comments: 24 pages, 6 images

Subjects: Category Theory (math.CT); Combinatorics (math.CO)

[25]  arXiv:2403.14475 [pdf, other]

Title: Scalar enrichment and cotraces in bicategories

Authors: Callum Reader

Comments: This thesis was submitted for the degree of Doctor of Philosophy of Mathematics at the University of Sheffield

Subjects: Category Theory (math.CT)