4 papers
Cellular generation revisited
Sean Cox, Mark Kamsma, Jiří 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…
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…
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…
The -Strongly Proper Forcing Axiom
David Asperó, Sean Cox, Asaf Karagila +1
We study methods to obtain the consistency of forcing axioms, and particularly higher forcing axioms. We first force over a model with a supercompact cardinal to get the cons…