Doctrines on 2-categories

DOI10.1007/BF01214522zbMath0311.18005OpenAlexW2056223372MaRDI QIDQ1219348

Volker Zöberlein

Publication date: 1976

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172368

Mathematics Subject Classification ID

Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)

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Completely distributive enriched categories are not always continuous ⋮ Lax orthogonal factorisation systems ⋮ Lax distributive laws for topology, II ⋮ Monads for which structures are adjoint to units ⋮ Accessibility and presentability in 2-categories ⋮ The double power monad is the composite power monad ⋮ Probability, valuations, hyperspace: Three monads on top and the support as a morphism ⋮ Two-dimensional monad theory ⋮ Approaching metric domains ⋮ Pseudo-commutativity of KZ 2-monads ⋮ Enhanced 2-categories and limits for lax morphisms ⋮ On Kan-injectivity of locales and spaces ⋮ Yoneda structures and KZ doctrines ⋮ Kan injectivity in order-enriched categories ⋮ Distributive laws via admissibility ⋮ An Australian Conspectus of Higher Categories ⋮ Cofibrantly generated lax orthogonal factorisation systems ⋮ A factorization of regularity

Cites Work

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• Formal category theory: Adjointness for 2-categories
• Abelian categories over additive ones
• Monads for which structures are adjoint to units
• Lokal präsentierbare Kategorien. (Locally presentable categories)
• Coherent Extensions and Relational Algebras
• Introduction to bicategories