Generalization of Scott's formula for retractions from generalized Alexandroff's cube

DOI10.1007/BF00375899zbMath0659.54012MaRDI QIDQ1112360

Jarosław Achinger

Publication date: 1986

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

zbMATH Keywords

retractionclosure operatorcontinuous latticeabsolute extensorclosure spacesemidistributive latticecomplete Heyting lattice

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Topological lattices (06B30) Distributive lattices (06D99)

Related Items (3)

Retracts of the closure space of filters in the lattice of all subsets ⋮ A categorical isomorphism between injective balanced \(L\)-\(S_0\)-convex spaces and fuzzy frames ⋮ Some further results on pointfree convex geometry

Cites Work

• Some modifications of Scott's theorem on injective spaces
• Retracts of the closure space of filters in the lattice of all subsets
• Universality of the closure space of filters in the algebra of all subsets
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