Mapping ideals to sublocales
DOI10.1007/s10485-021-09634-0zbMath1479.06001OpenAlexW3135015112MaRDI QIDQ2046259
Themba Dube, Dorca Nyamusi Stephen
Publication date: 17 August 2021
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10485-021-09634-0
Galois connectionidealframeStone-Čech compactificationLindelöf spacesublocalequantalefunction ring\(P\)-spaceTychonoff spacecompletely regular frame\(P\)-framelocalic mappseudocomplementpseudocompact framecozero mapBooleanization of a framecompletely below relationpoint of a framerather below relationWN-map
Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Frames, locales (06D22) Ideals and multiplicative ideal theory in commutative rings (13A15) Real-valued functions in general topology (54C30) Quantales (06F07) (P)-spaces (54G10) Frames and locales, pointfree topology, Stone duality (18F70)
Related Items (1)
Cites Work
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- On the ideal of functions with compact support in pointfree function rings
- Concerning \(P\)-frames, essential \(P\)-frames, and strongly zero-dimensional frames
- Remote points and the like in pointfree topology
- Some ring-theoretic properties of almost \(P\)-frames
- Algebraic properties of some compact spaces
- On the maximal regular ideal of pointfree function rings, and more
- Concerning \(P\)-sublocales and disconnectivity
- Frames and Locales
- Maps that Characterize Normality Properties and Pseudocompactness
- Lindelöf locales and realcompactness
- [https://portal.mardi4nfdi.de/wiki/Publication:4045327 P-Sets in F � -Spaces]
- Almost-P-Spaces
- Functions with pseudocompact support
- C- and C*-quotients in pointfree topology
- On the Ideal Structure of C(X)
- On a Theorem of Gelfand and Kolmogoroff Concerning Maximal Ideals in Rings of Continuous Functions
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