Paracompactness revisited

DOI10.1007/BF00880042zbMath0797.54032OpenAlexW4249577403MaRDI QIDQ1320327

Bernhard Banaschewski, Ales Pultr

Publication date: 16 October 1994

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

Full work available at URL: https://doi.org/10.1007/bf00880042

zbMATH Keywords

paracompact regular localesuniform locale

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Topological spaces and generalizations (closure spaces, etc.) (54A05) Uniform structures and generalizations (54E15) Lattices (06B99)

Related Items (19)

Unnamed Item ⋮ A little more on coz-unique frames ⋮ Monocoreflections of completely regular frames ⋮ The Samuel compactification for quasi-uniform biframes ⋮ Pointfree pseudocompactness revisited ⋮ Essential completeness in categories of completely regular frames. ⋮ A NOTE ON COMPLETE REGULARITY AND NORMALITY ⋮ Nearly realcompact frames. ⋮ On preparacompactness of uniform frames ⋮ CAUCHY POINTS OF UNIFORM AND NEARNESS FRAMES ⋮ A pseudocompact completely regular frame which is not spatial. ⋮ Strong Cauchy completeness in uniform frames ⋮ Completions of uniform partial frames ⋮ Isocompactness in the category of locales. ⋮ A method for constructing coreflections for nearness frames. ⋮ Thoughts on quotient-fine nearness frames ⋮ On openness and surjectivity of lifted frame homomorphisms ⋮ Uniformly locally connected uniform \(\sigma\)-frames ⋮ Notes on Point-Free Topology

Cites Work

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• Compactification of Frames
• Samuel compactification and completion of uniform frames
• Cauchy Points of Metric Locales
• Atomless Parts of Spaces.
• Rings of Real-Valued Continuous Functions. I

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