Completely and totally distributive categories. I.

DOI10.1016/j.jpaa.2012.02.017zbMath1278.18001OpenAlexW2031650640MaRDI QIDQ456849

Francisco Marmolejo, Richard J. Wood, Robert D. Rosebrugh

Publication date: 16 October 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.02.017

zbMATH Keywords

completely distributive categorytaxontotally cocomplete categorytotally distributive category

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Categories admitting limits (complete categories), functors preserving limits, completions (18A35)

Related Items

Completely distributive enriched categories are not always continuous ⋮ Totally distributive toposes ⋮ Monads and distributive laws for Rota-Baxter and differential algebras ⋮ Regularity vs. constructive complete (co)distributivity

Cites Work

• Limits of small functors
• Projective and supercoherent frames
• Yoneda structures on 2-categories
• Some remarks on total categories
• A classification of accessible categories
• Notions of topos
• An Adjoint Characterization of the Category of Sets
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