Idempotency of extensions via the bicompletion

DOI10.1007/s10485-006-9028-5zbMath1143.54007OpenAlexW2042677007MaRDI QIDQ2471002

G. C. L. Brümmer, Hans-Peter A. Künzi

Publication date: 18 February 2008

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

Full work available at URL: https://doi.org/10.1007/s10485-006-9028-5

zbMATH Keywords

idempotentfunctorial quasi-uniformityK-truelower K-stablelower K-truesuperrigid spaceupper K-true

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15)

Related Items (2)

Concrete functors determined by their restrictions to the \(T_0\) objects ⋮ More on upper bicompletion-true functorial quasi-uniformities

Cites Work

• An easier superrigid countable \(T_ 1\)-space
• Functorial uniformization of topological spaces
• Bicompletion and Samuel bicompactification
• Direct reflections
• Bicompleteness of the fine quasi-uniformity
• Prereflections and reflections
• The commuting of coreflectors in uniform spaces with completion
• ON CERTAIN FACTORIZATIONS OF FUNCTORS INTO THE CATEGORY OF QUASI-UNIFORM SPACES
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