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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…
math.CT2025
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…