First Steps in Descriptive Theory of Locales

DOI10.2307/2001846zbMath0759.54021OpenAlexW4247300425MaRDI QIDQ3977245

John R. Isbell

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001846

zbMATH Keywords

metrizable localescomplemented sublocalespointless part

Mathematics Subject Classification ID

Heyting algebras (lattice-theoretic aspects) (06D20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (19)

Directed inverse limits of spatial locales ⋮ Pseudocompleteness in the category of locales ⋮ A special class of congruences on \(\kappa\)-frames ⋮ On the parallel between normality and extremal disconnectedness ⋮ A UNIVERSAL CHARACTERIZATION OF STANDARD BOREL SPACES ⋮ Structural, point-free, non-Hausdorff topological realization of Borel groupoid actions ⋮ A note on weakly pseudocompact locales ⋮ Nearly realcompact frames. ⋮ Hedgehog frames and a cardinal extension of normality ⋮ Characterizing realcompact locales via remainders ⋮ Countable products of absolute \(C_ \delta\) spaces ⋮ Isocompactness in the category of locales. ⋮ Unnamed Item ⋮ Remainders in pointfree topology ⋮ Sublocale lattices ⋮ The congruence biframe as a quasi-uniform bicompletion ⋮ On hereditary properties of extremally disconnected frames and normal frames ⋮ Higher order dissolutions and Boolean coreflections of locales ⋮ More on subfitness and fitness

Cites Work

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• Spatial sublocales and essential primes
• d-Final Continua
• LOCAL DIMENSION OF NORMAL SPACES
• Continuous Functions on Compact Spaces Without Perfect Subsets
• Function spaces and adjoints.
• Atomless Parts of Spaces.
• Fibrewise separation axioms for locales

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