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Realcompact Alexandroff frames

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Publication:386173
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DOI10.1016/J.TOPOL.2013.09.005zbMath1294.06012OpenAlexW1982259743MaRDI QIDQ386173

Bernhard Banaschewski, Christopher Gilmour

Publication date: 9 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.09.005


zbMATH Keywords

realcompactpseudocompactAlexandroff framecompletely regular \(\sigma\)-frame


Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Frames, locales (06D22) Realcompactness and realcompactification (54D60) Uniform structures and generalizations (54E15) Real-valued functions in general topology (54C30)





Cites Work

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  • Rings of continuous functions on \(\sigma \)-frames
  • On the function ring functor in pointfree topology
  • A uniform view of localic realcompactness
  • Rings of functions determined by zero-sets
  • Frames and Locales
  • REAL COMPACTIFICATIONS THROUGH ZERO-SET SPACES
  • THE WALLMAN COMPACTIFICATION OF FRAMES
  • Pseudocompact σ-Frames
  • On Inverse-Closed Subalgebras of C (X )†
  • Rings of Real-Valued Continuous Functions. I
  • Cozero bases of frames
  • Realcompactness and the cozero part of a frame




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