A correspondence between proximity homomorphisms and certain frame maps via a comonad

DOI10.48308/CGASA.2024.235267.1480MaRDI QIDQ6672067

Christian Soize

Publication date: 28 January 2025

Published in: (Search for Journal in Brave)

zbMATH Keywords

compactificationalgebrasmonadKleisli compositionround idealstably compact frameproximity homomorphism

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categorical methods in general topology (54B30) Frames, locales (06D22) Preorders, orders, domains and lattices (viewed as categories) (18B35) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Eilenberg-Moore and Kleisli constructions for monads (18C20)

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• Proximity frames and regularization.
• Separated and prime compactifications
• Monoidal Topology
• Frames and Locales
• Compactification of Frames
• Samuel compactification and completion of uniform frames
• Stably continuous frames

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