A note on Colebunders-Lowen-Rosiers monads

DOI10.1007/S10485-018-9525-3zbMath1494.18005OpenAlexW2801209670MaRDI QIDQ1794281

George Janelidze

Publication date: 15 October 2018

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

Full work available at URL: https://doi.org/10.1007/s10485-018-9525-3

zbMATH Keywords

monadadjoint functorsalgebra over a monadinfinitary algebra

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Eilenberg-Moore and Kleisli constructions for monads (18C20) Infinitary algebras (08A65)

Cites Work

• Lax algebras via initial monad morphisms: APP, TOP, MET and ORD
• One setting for all: Metric, topology, uniformity, approach structure

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