Homological and homotopical epimorphisms in monoidal \infty-categories arXiv:2610.34592 A cohomology operation encoding the octahedral axiom arXiv:2610.35232

On the enriched approximate completeness arXiv:2610.33543 On Reed-Muller-Type Codes Associated to Proto-Exact Categories arXiv:2610.33903 On derived equivalences of exact structures on the category of repre... arXiv:2610.34363

The Malt'sev condition for groups is not categorical arXiv:2610.32399 Higher \v{C}ech derived functors via Galois theory arXiv:2610.32507

Properties of theories whose algebras are free arXiv:2610.31599

Localizing Restriction Categories arXiv:2610.30553 The symmetric skew monoidal structure of Gray-categories arXiv:2610.31410 Semi-strict 4-categories as enriched categories arXiv:2610.31448

Ideal balanced pairs in n-exangulated categories arXiv:2610.28657 Logic vs doctrines, a mirror symmetry arXiv:2610.29771

Dold--Kan Correspondences via Morita Normalization arXiv:2610.28138

Finitely enhanced nontopological triangulated categories arXiv:2610.25198 Simple-shifted monoidal derived equivalences for tensor categories arXiv:2610.26196

Cospan contexts and higher categories arXiv:2610.24473 The first Cech derived functor arXiv:2610.24720 Prekosmic Grothendieck/Galois Categories arXiv:2610.25143

Presentability of categories of localizations and analytic rings arXiv:2610.22494

The Kaplansky-Walker Lemma for additive categories arXiv:2610.20386

Fiber product of condensable algebras and critical points of boundar... arXiv:2610.12079

Inter-Categorical Subobject Analysis arXiv:2610.10930 Universal Semisimple Reconstruction and Obstruction Theory arXiv:2610.11497 Tensor triangular geometry of band algebras arXiv:2610.11979

How protomodular is your favourite category? arXiv:2610.09739

Bi-representable bi-multicategories arXiv:2610.08454 Cocompletion under sifted colimits need not be finitely accessible arXiv:2610.08548

Graphoid Automata, Frobenius PROPs, and Semiring Evaluation arXiv:2610.03897 Quasi-pointed exactness and torsion arXiv:2610.05309

Dagger Categories in Riemannian Geometry arXiv:2610.02257

Relative quasi-Gorenstein homological dimensions in extriangulated c... arXiv:2610.01483 Ternary semi-direct products in semi-abelian categories arXiv:2610.01671

Orthogonal Model Structures arXiv:2609.39317 Homological surrogates in topological and bornological analysis arXiv:2609.40304

Diagrammatic bases from stratified normalization arXiv:2609.36020 Six functor formalisms via internal higher algebra arXiv:2609.37520