Essentially complete \(T_ 0-\)spaces. II. A lattice-theoretic approach

DOI10.1007/BF01173916zbMath0497.54017MaRDI QIDQ1170797

Rudolf-E. Hoffmann

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173129

zbMATH Keywords

MacNeille completiondistributive continuous latticeessentially complete T0-spacegreatest essential extensionlattice of closed subsets of a T0-spacepseudo-join-prime elements

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Categorical methods in general topology (54B30) Representation theory of lattices (06B15) Topological lattices, etc. (topological aspects) (54H12) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (1)

Sobrification and bicompletion of totally bounded quasi-uniform spaces

Cites Work

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• A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
• The Spectral Theory of Distributive Continuous Lattices
• Prime Ideal Structure in Commutative Rings
• Extensions of Topological Spaces

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