3 papers
math.CT2026
Cellular generation revisited
Sean Cox, Mark Kamsma, JiÅà Rosický
Cellular generation, which generalises cofibrant generation, is an important categorical smallness condition on a class of morphisms. A general challenge is to determine whether a…
math.CT2026
Cofibrant generation of pure monomorphisms in presheaf categories
Sean Cox, Jonathan Feigert, Mark Kamsma +2
We characterise when the pure monomorphisms in a presheaf category are cofibrantly generated in terms of the category . In particular, when…
math.CT2025
The Flat Cover Conjecture for Monoid Acts
Sean Cox
We prove that the Flat Cover Conjecture holds for the category of (right) acts over any right-reversible monoid , provided that the flat -acts are closed under stable Rees ex…