Cauchy completeness, lax epimorphisms and effective descent for split fibrations

DOI10.36045/j.bbms.221021zbMath1519.18001arXiv2210.12021MaRDI QIDQ6178477

Lurdes Sousa, Fernando Lucatelli Nunes, Rui Prezado

Publication date: 1 September 2023

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.12021

zbMATH Keywords

enriched categorieseffective descent morphismCauchy completionsfully faithful morphismslax epimorphismssplit fibrations

Mathematics Subject Classification ID

Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Special properties of functors (faithful, full, etc.) (18A22) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Enriched categories (over closed or monoidal categories) (18D20) 2-categories, bicategories, double categories (18N10)

Cites Work

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• Effective étale-descent morphisms in the category of M-ordered sets
• Lawvere completeness in topology
• Facets of descent. I
• Facets of descent. II
• Descent for discrete (co)fibrations
• Codescent objects and coherence
• Metric, topology and multicategory -- a common approach
• On lax epimorphisms and the associated factorization
• On lifting of biadjoints and lax algebras
• Pseudo-Kan Extensions and Descent Theory
• Descent Data and Absolute Kan Extensions

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