Stone duality and Gleason covers through de Vries duality

DOI10.1016/j.topol.2010.01.007zbMath1190.54015OpenAlexW2014830113MaRDI QIDQ960844

Guram Bezhanishvili

Publication date: 29 March 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2010.01.007

zbMATH Keywords

compactificationzero-dimensional spaceBoolean algebraproximitycompact Hausdorff spaceGleason coverextremally disconnected space

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Proximity structures and generalizations (54E05) Stone spaces (Boolean spaces) and related structures (06E15) Special categories (18B99) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

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Cites Work

• Projective topological spaces
• Some generalizations of Fedorchuk duality theorem-I
• Zero-dimensional proximities and zero-dimensional compactifications
• Boolean \(\delta\)-algebras and quasiopen mappings
• Local proximity spaces
• On clusters in proximity spaces
• A Note on Projective Resolutions
• A Proximity Approach to Some Region-Based Theories of Space
• The Theory of Representation for Boolean Algebras
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