Sublocale lattices

DOI10.1016/S0022-4049(01)00100-1zbMath1004.18003OpenAlexW4212842566WikidataQ127740780 ScholiaQ127740780MaRDI QIDQ5960408

Till Plewe

Publication date: 7 April 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(01)00100-1

zbMATH Keywords

dissolution localesdual of frameextremally disconnectedlattice of closed sublocalesregular cardinal

Mathematics Subject Classification ID

Related Items (23)

Exact and strongly exact filters ⋮ On point-finiteness in pointfree topology ⋮ Monocoreflections of completely regular frames ⋮ The frame of nuclei on an Alexandroff space ⋮ Pseudocompleteness in the category of locales ⋮ On infinite variants of De Morgan law in locale theory ⋮ On locales whose countably compact sublocales have compact closure ⋮ Exact filters and joins of closed sublocales ⋮ A general insertion theorem for uniform locales ⋮ Rings of real functions in pointfree topology ⋮ On ideals of rings of continuous functions associated with sublocales ⋮ On densely normal locales ⋮ The congruence frame and the Madden quotient for partial frames ⋮ Notes on exact meets and joins. ⋮ Maximal Lindelöf locales ⋮ Coverages give free constructions for partial frames ⋮ Remainders in pointfree topology ⋮ Continuous extensions of real functions on arbitrary sublocales and \(C\)-, \(C^\ast\)-, and \(z\)-embeddings ⋮ Meet-semilattice congruences on a frame ⋮ When is the frame of nuclei spatial: a new approach ⋮ On joins of complemented sublocales ⋮ The congruence biframe as a quasi-uniform bicompletion ⋮ On the Menger and almost Menger properties in locales

Cites Work

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• Countable products of absolute \(C_ \delta\) spaces
• On dissolute spaces
• Spatial sublocales and essential primes
• Higher order dissolutions and Boolean coreflections of locales
• Complete Exhaustive Sieves and Games
• Localic Products of Spaces
• Spaces with Boolean assemblies
• First Steps in Descriptive Theory of Locales
• Atomless Parts of Spaces.

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