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math.CT2014★ 3 cited
Completion, closure, and density relative to a monad, with examples in functional analysis and sheaf theory
Rory B. B. Lucyshyn-Wright
Given a monad T on a suitable enriched category B equipped with a proper factorization system (E,M), we define notions of T-completion, T-closure, and T-density. We show that not o…
math.CT2014★ 6 cited
Enriched factorization systems
Rory B. B. Lucyshyn-Wright
In a paper of 1974, Brian Day employed a notion of factorization system in the context of enriched category theory, replacing the usual diagonal lifting property with a correspondi…