Note on total categories

DOI10.1017/S0004972700005992zbMath0431.18002MaRDI QIDQ3867949

Walter Tholen

Publication date: 1980

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Yoneda embeddingmonadic categoriestotal categorycompact categorysemitopological functor

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Special properties of functors (faithful, full, etc.) (18A22) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Categorical structures (18D99) Functor categories, comma categories (18A25)

Related Items

Lifting properties ofV-functors¹, Central extensions of associative algebras and weakly action representable categories, Total categories with generators, \(\mathcal{Q}\)-closure spaces, Unnamed Item, A formula for codensity monads and density comonads, Order-enriched solid functors, The Dedekind reals in abstract Stone duality, Some remarks on total categories

Cites Work

• Yoneda structures on 2-categories
• Semi-topological functors. I
• Adjoints to functors from categories of algebras
• Small subcategories and completeness