Some modifications of Scott's theorem on injective spaces

DOI10.1007/BF00373271zbMath0612.54017WikidataQ114234138 ScholiaQ114234138MaRDI QIDQ1088182

Andrzej W. Jankowski

Publication date: 1986

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

zbMATH Keywords

absolute extensorsScott-topologycontinuous latticescategories of (\(\alpha \) ,\(\delta \) )-closure spacesclosure space of all principal filters in a completely distributive complete latticeclosure spaces of filters in a complete Heyting lattice

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Heyting algebras (lattice-theoretic aspects) (06D20) Categorical methods in general topology (54B30) Other algebras related to logic (03G25) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Topological lattices (06B30)

Related Items (5)

Retracts of the closure space of filters in the lattice of all subsets ⋮ 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 ⋮ Some further results on pointfree convex geometry

Cites Work

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