Bicompletion and Samuel bicompactification

DOI10.1023/A:1015240428548zbMath1008.54016MaRDI QIDQ1610287

G. C. L. Brümmer, Hans-Peter A. Künzi

Publication date: 19 August 2002

Published in: Applied Categorical Structures (Search for Journal in Brave)

zbMATH Keywords

sober spacetotally boundedbicompletionquasi-uniform spacefunctorial quasi-uniformityquasi-proximitylower \(K\)-trueSamuel bicompactificationupper \(K\)-true

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05)

Related Items (8)

The Samuel compactification for quasi-uniform biframes ⋮ Concrete functors determined by their restrictions to the \(T_0\) objects ⋮ Uniqueness of completion for metrically generated constructs ⋮ Idempotency of extensions via the bicompletion ⋮ Proximally well-monotone covers and \(QH\)-singularity ⋮ More on upper bicompletion-true functorial quasi-uniformities ⋮ Asymmetry and bicompletion of approach spaces ⋮ The congruence biframe as a quasi-uniform bicompletion

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