Fernando Lucatelli Nunes

activity

20172022

most citedSemantic Factorization and Descent

10 citations · 24 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.CT2021★ 4 cited

On lax epimorphisms and the associated factorization

Fernando Lucatelli Nunes, Lurdes Sousa

We study lax epimorphisms in 2-categories, with special attention to $Cat$ and $V$ - $Cat$ . We show that any 2-category with convenient colimits has an or…

math.CT2019★ 10 cited

Semantic Factorization and Descent

Fernando Lucatelli Nunes

Let $A$ be a $2$ -category with suitable opcomma objects and pushouts. We give a direct proof that, provided that the codensity monad of a morphism $p$ exists and is preser…

math.CT2017★ 7 cited

Pseudoalgebras and non-canonical isomorphisms

Fernando Lucatelli Nunes

Given a pseudomonad $T$ , we prove that a lax $T$ -morphism between pseudoalgebras is a $T$ -pseudomorphism if and only if there is a suitable (possib…