Lax algebras via initial monad morphisms: APP, TOP, MET and ORD

DOI10.1016/j.topol.2011.01.008zbMath1232.18006OpenAlexW2054812933MaRDI QIDQ536041

W. Rosiers, Robert Lowen, Eva Lowen-Colebunders

Publication date: 16 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.01.008

zbMATH Keywords

metric spaceapproach spaceordered setultrafiltermonadlax algebraalgebraization of topology

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Eilenberg-Moore and Kleisli constructions for monads (18C20)

Related Items

The saturated prefilter monad ⋮ Kleisli monoids describing approach spaces ⋮ A note on Colebunders-Lowen-Rosiers monads

Cites Work

• Topological features of Lax algebras
• One setting for all: Metric, topology, uniformity, approach structure
• Effective descent morphisms in categories of lax algebras
• Metric, topology and multicategory -- a common approach
• Metric spaces, generalized logic, and closed categories
• Compact Hausdorff objects
• Relational algebras
• Limesräume und Komplettierung
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