Bojana Femi\'c Para construction for double categories https://arxiv.org/abs/2510.26465

Xavier Mary Equivalences for the (2-)categories of monoids and unital semigroups https://arxiv.org/abs/2510.26660

Li He An internal description of constructible objects in an $\infty$-topos https://arxiv.org/abs/2510.25248

Ellen de Oliveira, Guido Neulaender Stability Conditions on Abelian Comma Categories https://arxiv.org/abs/2510.25450

Timothy De Deyn, Sam K. Miller Re-framing the classification of ideals in noncommutative tensor-triangular geometry https://arxiv.org/abs/2510.23767

Jason Brown, Kevin Carlson, Sophie Libkind, David Jaz Myers Comparing loose bimodules and double barrels using pseudo-models of enhanced sketches https://arxiv.org/abs/2510.23789

Thomas Peirce, Jordan Williamson Duality in tensor-triangular geometry via proxy-smallness https://arxiv.org/abs/2510.24415

Johnathon Taylor The Inductive Coherator For Grothendieck Infinity Groupoids https://arxiv.org/abs/2510.22326

Maria Bevilacqua Coalgebraic models of Omega-groups https://arxiv.org/abs/2510.22653

Vitor Gulisz, Wolfgang Rump On the equivalence between the existence of $n$-kernels and $n$-cokernels https://arxiv.org/abs/2510.23369

Matteo Capucci, David Jaz Myers Classifying strict discrete opfibrations with lax morphisms https://arxiv.org/abs/2510.23531

Eric M. Schmid Jr., Fernando Tohm\'e, William Chin Sheaves on Quivers via a Grothendieck Topology on the Path Category https://arxiv.org/abs/2510.23580

Florian Lengyel A Cartesian Promonoidal Kernel on $\Delta$ and a Hadamard Contraction of $\Delta^n$ https://arxiv.org/abs/2510.19104

Xiao Han (QMUL), Peter Schauenburg (IMB, UBE) Hopf BiGalois Theory for Hopf Algebroids https://arxiv.org/abs/2510.17298

Emily Riehl Synthetic perspectives on spaces and categories https://arxiv.org/abs/2510.15795

Antonio Lorenzin, Fabio Zanasi Approaching the Continuous from the Discrete: an Infinite Tensor Product Construction https://arxiv.org/abs/2510.14716

Guillaume Laplante-Anfossi, Anibal M. Medina-Mardones, Arnau Padrol Framed Polytopes and Higher Categories https://arxiv.org/abs/2510.12937

Ko Aoki Higher presentable categories and limits https://arxiv.org/abs/2510.13503

Lili Shen, Jian Zhang Cartesian closedness of the category of real-valued sets, I https://arxiv.org/abs/2510.12108

Sacha Ikonicoff, Jean-Simon Pacaud Lemay, Tim Van der Linden From Abelianization to Tangent Categories https://arxiv.org/abs/2510.12324

Mai Katada Extensions between functors from Jacobi diagrams in handlebodies https://arxiv.org/abs/2510.09625

Javier Guti\'errez Garc\'ia, Ulrich H\"ohle Quantaloid-enriched categories: Factorization, weak classifiers, and symmetry https://arxiv.org/abs/2510.10162

Kevin Coulembier, Nate Harman, Andrew Snowden Universal properties of Delannoy categories https://arxiv.org/abs/2510.10317

Jens Hemelaer The smallest $n$-pure subtopos and dimension theory https://arxiv.org/abs/2510.10349

Yaroslav Kopylov, Vadim Leshkov Some Properties of Homology and Exactness of Nomura's Homology Sequences in a Grandis Homological Category https://arxiv.org/abs/2510.11672

Kevin Carlson, Evan Patterson Instances of models of double-categorical theories https://arxiv.org/abs/2510.08861

Yangxiao Luo, Shunyu Wan Concentration structures on categories and horizontal categorification https://arxiv.org/abs/2510.07553

Moacyr Rodrigues, Ciro Russo Morita Equivalence for Quantales https://arxiv.org/abs/2510.07565

Manuel Mancini, Giuseppe Metere, Federica Piazza On actions and split extensions in varieties of hoops: the case of strong section https://arxiv.org/abs/2510.06886

Sandra Mantovani, Mariano Messora Pretorsion theories in prenormal categories https://arxiv.org/abs/2510.07040

Lorenzo Riva, Martina Rovelli Zigzags and free adjunctions https://arxiv.org/abs/2510.05371

Jean-Baptiste Vienney An algebra modality admitting countably many deriving transformations https://arxiv.org/abs/2510.03953

Kimball Strong An Enriched Approach to the Strictification of $(\infty,1)$-Categories https://arxiv.org/abs/2510.04254

C\'esar Bardomiano Mart\'inez, Simon Henry Homotopy Languages https://arxiv.org/abs/2510.02607

Dominik Lachman Simplicial Perspectives on (Pseudo) Effect Algebras https://arxiv.org/abs/2510.02748

Jade Master, Joe Moeller Colored Petri Nets are Lax Double Functors https://arxiv.org/abs/2510.01946

Matt Booth How to invert well-pointed endofunctors https://arxiv.org/abs/2510.02277

Mirai Ikebuchi Cohomology of Small Cartesian Closed Categories https://arxiv.org/abs/2510.00488

Misha Gavrilovich Stable first order theories as simplicial profinite sets https://arxiv.org/abs/2510.00854

Dirk Hofmann, Walter Tholen Notions of Cauchy completeness for normed categories https://arxiv.org/abs/2510.00912

Thomas Koopman, Rob H. Bisseling, Sven-Bodo Scholz Category Theory for Supercomputing: The Tensor Product of Linear BSP Algorithms https://arxiv.org/abs/2510.00979

Elena Di Lavore, Mario Rom\'an Accepting Normalization via Markov Magmoids https://arxiv.org/abs/2510.01131

C. B. Aberl\'e, Elena Caviglia, Matthew Kukla, Rub\'en Maldonado, Luca Mesiti, Dorette Pronk, Tanjona Ralaivaosaona Double Orthogonal Factorization Systems https://arxiv.org/abs/2509.26343

Cl\'emence Chanavat Homotopy theory of stricter $n$-categories https://arxiv.org/abs/2509.26563

Vitor Gulisz A functorial approach to $0$-abelian categories https://arxiv.org/abs/2509.24810

Arghan Dutta, Stefano Luneia, Martina Rovelli, Sam Silver The Morita $(\infty,2)$-category of a monoidal category as a $2$-complicial set https://arxiv.org/abs/2509.21472

Rogelio Fern\'andez-Alonso, Janeth Maga\~na, Martha Lizbeth Shaid Sandoval-Miranda, Valente Santiago-Vargas Galois Connections and Preradicals in Abelian Categories https://arxiv.org/abs/2509.21564

Lorenzo Perticone Parametric Distributive Laws: uniform monad composition https://arxiv.org/abs/2509.22208

Andrea Bianchi Symmetric monoidal extensions and graph cobordisms between finite sets https://arxiv.org/abs/2509.22575

John C. Baez Double Categories of Open Systems: the Cospan Approach https://arxiv.org/abs/2509.22584