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pro vyhledávání: '"Prezado, Rui"'
Autor:
Clementino, Maria Manuel, Prezado, Rui
We present a characterization of effective descent morphisms in the lax comma category $\mathsf{Ord}//X$ when $X$ is a locally complete ordered set with a bottom element.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2407.08573
Publikováno v:
Theory Appl. Categ. 41(16):516-530, 2024
We investigate the properties of lax comma categories over a base category $X$, focusing on topologicity, extensivity, cartesian closedness, and descent. We establish that the forgetful functor from $\mathsf{Cat}//X$ to $\mathsf{Cat}$ is topological
Externí odkaz:
http://arxiv.org/abs/2405.03773
We consider the canonical pseudodistributive law between various free limit completion pseudomonads and the free coproduct completion pseudomonad. When the class of limits includes pullbacks, we show that this consideration leads to notions of extens
Externí odkaz:
http://arxiv.org/abs/2405.02185
Via the adjunction $ - \boldsymbol{\cdot} 1 \dashv \mathcal V(1,-) \colon \mathsf{Span}(\mathcal V) \to \mathcal V \text{-} \mathsf{Mat} $ and a cartesian monad $ T $ on an extensive category $ \mathcal V $ with finite limits, we construct an adjunct
Externí odkaz:
http://arxiv.org/abs/2309.08084
Autor:
Prezado, Rui
Publikováno v:
Journal of Pure and Applied Algebra, 228:5 (2024)
We study effective descent $ \mathcal V $-functors for cartesian monoidal categories $ \mathcal V $ with finite limits. This study is carried out via the properties enjoyed by the $2$-functor $ \mathcal V \mapsto \mathsf{Fam}(\mathcal V) $, results a
Externí odkaz:
http://arxiv.org/abs/2305.04042
Publikováno v:
Bull. Belg. Math. Soc. Simon Stevin 30(1): 130-139 (july 2023)
For any suitable base category $\mathcal{V} $, we find that $\mathcal{V} $-fully faithful lax epimorphisms in $\mathcal{V} $-$\mathsf{Cat} $ are precisely those $\mathcal{V}$-functors $F \colon \mathcal{A} \to \mathcal{B}$ whose induced $\mathcal{V}
Externí odkaz:
http://arxiv.org/abs/2210.12021
Publikováno v:
Descent for internal multicategory functors. Appl Categor Struct 31, 11 (2023)
We give sufficient conditions for effective descent in categories of (generalized) internal multicategories. Two approaches to study effective descent morphisms are pursued. The first one relies on establishing the category of internal multicategorie
Externí odkaz:
http://arxiv.org/abs/2112.10072
Autor:
Prezado, Rui
Publikováno v:
In Journal of Pure and Applied Algebra May 2024 228(5)
Autor:
Nunes, Fernando Lucatelli1 f.lucatellinunes@uu.nl, Prezado, Rui2 f.lucatellinunes@uu.nl, Sousa, Lurdes3 sousa@estv.ipv.pt
Publikováno v:
Bulletin of the Belgian Mathematical Society - Simon Stevin. Jul2023, Vol. 30 Issue 1, p130-139. 10p.
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