\({\mathcal Z}\)-continuous posets and their topological manifestation

DOI10.1023/A:1008657800278zbMath0939.06005MaRDI QIDQ1306707

Marcel Erné

Publication date: 5 July 2000

Published in: Applied Categorical Structures (Search for Journal in Brave)

zbMATH Keywords

interpolationcompletionsober spacesubset selectionsclosure space\({\mathcal Z}\)-arity\({\mathcal Z}\)-complete core spacescategory of strongly \({\mathcal Z}\)-continuous posetsgeneralized soberness

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological spaces and generalizations (closure spaces, etc.) (54A05) Continuous lattices and posets, applications (06B35) Topological representations of algebraic systems (54H10)

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