Descent for internal multicategory functors

DOI10.1007/s10485-022-09706-9zbMath1504.18017arXiv2112.10072OpenAlexW4225904069MaRDI QIDQ2682782

Rui Prezado, Fernando Lucatelli Nunes

Publication date: 1 February 2023

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10072

zbMATH Keywords

coherenceeffective descent morphismsGrothendieck descent theoryinternal \(T\)-multicategoryiso-inserter

Mathematics Subject Classification ID

Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) 2-categories, bicategories, double categories (18N10) Non-symmetric operads, multicategories, generalized multicategories (18M65)

Related Items (1)

On effective descent \(\mathcal{V}\)-functors and familial descent morphisms

Cites Work

• Descent morphisms and a van Kampen theorem in categories of lax algebras
• A note on effective descent morphisms of topological spaces and relational algebras
• Effective descent maps of topological spaces
• Facets of descent. I
• Facets of descent. II
• Representable multicategories
• Effective descent morphisms in categories of lax algebras
• Metric, topology and multicategory -- a common approach
• The rise and fall of \(V\)-functors
• Triquotient maps via ultrafilter convergence
• Pseudo-Kan Extensions and Descent Theory
• Connected limits, familial representability and Artin glueing
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