STRONG ZERO-DIMENSIONALITY OF BIFRAMES AND BISPACES

DOI10.1080/16073606.1990.9631960zbMath0722.54019OpenAlexW1501090701WikidataQ122707514 ScholiaQ122707514MaRDI QIDQ3209835

G. C. L. Brümmer, Bernhard Banaschewski

Publication date: 1990

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1990.9631960

zbMATH Keywords

Skula biframeStone-Cech compactificationDe Morgan biframestrongly zero-dimensional bispaces

Mathematics Subject Classification ID

Heyting algebras (lattice-theoretic aspects) (06D20) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Lattice ideals, congruence relations (06B10) Uniform structures and generalizations (54E15) Dimension theory in general topology (54F45) Bitopologies (54E55)

Related Items (11)

Frame quasi-uniformities ⋮ Join-continuous frames, Priestley's duality and biframes ⋮ Normality for biframes ⋮ An asymmetric approach to filters in strict extensions and quotients ⋮ Strictly zero-dimensional biframes and a characterisation of congruence frames ⋮ Enough regular Cauchy filters for asymmetric uniform and nearness structures ⋮ The reals as full and balanced biframe ⋮ Concrete functors determined by their restrictions to the \(T_0\) objects ⋮ Functorial admissible quasi-uniformities on topological spaces ⋮ The congruence biframe as a quasi-uniform bicompletion ⋮ Functorial quasi-uniformities on frames

Cites Work

• Functorial uniformization of topological spaces
• Functorial admissible quasi-uniformities on topological spaces
• On completeness of quasi-uniform spaces
• Quasi-uniformities with a transitive base
• BIFRAMES AND BISPACES
• ON CERTAIN FACTORIZATIONS OF FUNCTORS INTO THE CATEGORY OF QUASI-UNIFORM SPACES
• Bitopological Spaces and Quasi-Uniform Spaces
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