Descent morphisms and a van Kampen theorem in categories of lax algebras

DOI10.1016/J.TOPOL.2011.07.031zbMath1253.18004OpenAlexW2077807785MaRDI QIDQ429316

Maria Manuel Clementino, Dirk Hofmann

Publication date: 19 June 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.07.031

zbMATH Keywords

effective descent morphismdescent morphismlax algebravan Kampen theorem

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Categorical methods in general topology (54B30) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Eilenberg-Moore and Kleisli constructions for monads (18C20)

Related Items (6)

The rise and fall of \(V\)-functors ⋮ Descent for internal multicategory functors ⋮ On effective descent \(\mathcal{V}\)-functors and familial descent morphisms ⋮ Covering morphisms in categories of relational algebras ⋮ The monads of classical algebra are seldom weakly Cartesian ⋮ Another note on effective descent morphisms of topological spaces and relational algebras

Cites Work

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• Topological features of Lax algebras
• Effective descent morphisms in categories of lax algebras
• Metric, topology and multicategory -- a common approach
• Taut monads and \(T0\)-spaces.
• Topological theories and closed objects
• Universality of coproducts in categories of lax algebras
• Bi-quotient maps and Cartesian products of quotient maps
• Triquotient maps via ultrafilter convergence
• Relational algebras

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