Lax comma categories of ordered sets

DOI10.2989/16073606.2023.2247729arXiv2212.13541MaRDI QIDQ6087849

Fernando Lucatelli Nunes, Maria Manuel Clementino

Publication date: 16 November 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.13541

zbMATH Keywords

enriched categorieseffective descent morphismscomma categoriescartesian closed categoriesexponentiabilitytopological functors\textsf{Ord}-enriched categorieslax comma 2-categories

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Functor categories, comma categories (18A25) Enriched categories (over closed or monoidal categories) (18D20) 2-categories, bicategories, double categories (18N10) Categorical Galois theory (18E50)

Cites Work

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• Lax orthogonal factorisation systems
• Pure Galois theory in categories
• Semi-topological functors III: Lifting of monads and adjoint functors
• Effective descent maps of topological spaces
• Facets of descent. I
• On localization and stabilization for factorization systems
• Finite preorders and topological descent. I
• Triquotient maps via ultrafilter convergence
• Pseudo-Kan Extensions and Descent Theory
• Topological functors
• Lax orthogonal factorisations in ordered structures
• Kan injectivity in order-enriched categories

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