Samuel compactification and completion of uniform frames

DOI10.1017/S030500410006895XzbMath0733.54020OpenAlexW2143390870MaRDI QIDQ3359387

Bernhard Banaschewski, Ales Pultr

Publication date: 1990

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410006895x

zbMATH Keywords

Samuel compactificationuniform completionuniform frame

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15)

Related Items (39)

A note on precompact uniform frames ⋮ Frame quasi-uniformities ⋮ Unnamed Item ⋮ Uniform-type structures on lattice-valued spaces and frames ⋮ Entourages, density, Cauchy maps, and completion ⋮ The Tamano-Dowker type theorems for nearness frames ⋮ Characterising points which make \(P\)-frames. ⋮ Monocoreflections of completely regular frames ⋮ The Samuel compactification for quasi-uniform biframes ⋮ Universal categories of uniform and metric locales ⋮ Unnamed Item ⋮ Pseudocompleteness in the category of locales ⋮ Enough regular Cauchy filters for asymmetric uniform and nearness structures ⋮ Uniform local connectedness and completion of metric \(\sigma\)-frames ⋮ On preparacompactness of uniform frames ⋮ CAUCHY POINTS OF UNIFORM AND NEARNESS FRAMES ⋮ Entourage uniformities for frames ⋮ Strong Cauchy completeness in uniform frames ⋮ Another note on precompact uniform frames ⋮ Neighbourhood systems ⋮ Unnamed Item ⋮ Completions of uniform partial frames ⋮ A method for constructing coreflections for nearness frames. ⋮ On completion in the category SSNσFrm ⋮ Cover quasi-uniformities in frames ⋮ Connectedness in metric frames ⋮ Proximity frames and regularization. ⋮ Samuel compactification and uniform coreflection of nearness σ-frames ⋮ Some algebraic characterizations of \(F\)-frames ⋮ Unnamed Item ⋮ The congruence biframe as a quasi-uniform bicompletion ⋮ A note on S-metrizable frames ⋮ A short note on nearly perfect maps of locales ⋮ Unnamed Item ⋮ Perfect compactifications of frames ⋮ Uniformly locally connected uniform \(\sigma\)-frames ⋮ On the collection of points of a formal space ⋮ ON THE COMPLETION OF NEARNESS FRAMES ⋮ Paracompactness revisited

Cites Work

• Atomless Parts of Spaces.
• Ultrafilters and Compactification of Uniform Spaces
• Über nulldimensionale Räume

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