Retracts of the closure space of filters in the lattice of all subsets

DOI10.1007/BF00373270zbMath0622.54012MaRDI QIDQ1090957

Andrzej W. Jankowski

Publication date: 1986

Published in: Studia Logica (Search for Journal in Brave)

zbMATH Keywords

closure spacesabsolute retractabsolute extensor\(<\alpha ,\delta >\)-closure spaceproper closure operator

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Semilattices (06A12)

Related Items (6)

Some modifications of Scott's theorem on injective spaces ⋮ Disjunctions in closure spaces ⋮ Generalization of Scott's formula for retractions from generalized Alexandroff's cube ⋮ On a problem of P(\(\alpha\) ,\(\delta\) ,\({\mathfrak n})\) concerning generalized Alexandroff's cube ⋮ A categorical isomorphism between injective balanced \(L\)-\(S_0\)-convex spaces and fuzzy frames ⋮ Closure functions and general iterates as reflectors

Cites Work

• A conjunction in closure spaces
• Some modifications of Scott's theorem on injective spaces
• On decidable consequence operators
• Disjunctions in closure spaces
• Universality of the closure space of filters in the algebra of all subsets
• Generalization of Scott's formula for retractions from generalized Alexandroff's cube
• Projective and injective distributive lattices
• Some extension theorems for continuous functions
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