Quotients of countably based spaces are not closed under sobrification

DOI10.1017/S0960129506005184zbMath1099.06005MaRDI QIDQ5481590

Thomas Streicher, Gary Gruenhage

Publication date: 10 August 2006

Published in: Mathematical Structures in Computer Science (Search for Journal in Brave)

zbMATH Keywords

sobrificationrepletioncore compactly generated spacesqcb spacesquotients of countably based spacestopological predomains

Mathematics Subject Classification ID

Semantics in the theory of computing (68Q55) Continuous lattices and posets, applications (06B35)

Related Items (6)

Observationally-induced Effects in Cartesian Closed Categories ⋮ Sobriety for equilogical spaces ⋮ Base-complexity classifications of qcb0-spaces1 ⋮ D-completions and the \(d\)-topology ⋮ A Convenient Category of Domains ⋮ Relational Parametricity for Control Considered as a Computational Effect

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