LOCAL COMPACTNESS IN SEMI-UNIFORM CONVERGENCE SPACES

DOI10.1080/16073606.1996.9631989zbMath0889.54002OpenAlexW2023562468MaRDI QIDQ4331923

Gerhard Preuss

Publication date: 23 March 1997

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1996.9631989

zbMATH Keywords

\(k\)-spaceone-point compactificationlocal compactnessCartesian closednessuniform limit spacesbicoreflective subcategoriessemi-uniform convergence spaces

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Compactness (54D30) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) (k)-spaces (54D50)

Cites Work

• A convenient category of topological spaces
• Kompakt erzeugte Räume und Limesräume. (Compactly generated spaces and limit spaces)
• Initially Structured Categories and Cartesian Closedness
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