Functorial uniformization of topological spaces

DOI10.1016/0166-8641(87)90099-XzbMath0639.54019MaRDI QIDQ1099837

G. C. L. Brümmer, Anthony W. Hager

Publication date: 1987

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

spanningbireflectors and coreflectorscategory of completely regular topological spacescategory of uniform spacesT-sectionuniform completion reflector

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categorical methods in general topology (54B30) Uniform structures and generalizations (54E15)

Related Items (4)

STRONG ZERO-DIMENSIONALITY OF BIFRAMES AND BISPACES ⋮ Concrete functors determined by their restrictions to the \(T_0\) objects ⋮ Idempotency of extensions via the bicompletion ⋮ More on upper bicompletion-true functorial quasi-uniformities

Cites Work

• Continuous uniformities
• EUCLIDEAN COVERS OF TOPOLOGICAL SPACES
• Covering and function theoretic properties of uniform spaces
• Subcategories of Uniform Spaces
• The commuting of coreflectors in uniform spaces with completion
• Uniformities Induced by Cozero and Baire Sets
• ON CERTAIN FACTORIZATIONS OF FUNCTORS INTO THE CATEGORY OF QUASI-UNIFORM SPACES
• Composition properties in uniform spaces
• COMPLETENESS AND COVERING PROPERTIES OF UNIFORM SPACES
• Some Nearly Fine Uniform Spaces
• Measurable uniform spaces
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