The reals as full and balanced biframe

DOI10.1016/j.topol.2010.11.026zbMath1231.06016OpenAlexW2060873531MaRDI QIDQ645193

Anneliese Schauerte, J. L. Frith

Publication date: 8 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.11.026

zbMATH Keywords

biframe of realsextremely zero-dimensionalorder-topology biframepart-preserving right adjointpseudocomplementsmallest dense quotient

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Frames, locales (06D22) Bitopologies (54E55)

Related Items (3)

An asymmetric approach to filters in strict extensions and quotients ⋮ Enough regular Cauchy filters for asymmetric uniform and nearness structures ⋮ On Isbell's density theorem for bitopological pointfree spaces. I

Cites Work

• On the algebraic representation of semicontinuity
• On openness and surjectivity of lifted frame homomorphisms
• Variants of openness
• Normality for biframes
• Bitopologies on totally ordered sets
• The Samuel compactification for quasi-uniform biframes
• Notions of local compactness and smallest compactifications of biframes
• Quasi-nearnesses on biframes and their completions
• Quasi-nearness biframes: unique completions and related covering properties
• STRONG ZERO-DIMENSIONALITY OF BIFRAMES AND BISPACES
• Bitopological Spaces
• BIFRAMES AND BISPACES
• Bitopological spaces
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