Classes of pretopological spaces closed under the formation of final structures

DOI10.1016/0166-8641(95)00097-6zbMath0859.54001OpenAlexW2010755347MaRDI QIDQ1917059

Eva Lowen-Colebunders, Gert Sonck

Publication date: 3 July 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00097-6

zbMATH Keywords

closure spacecoreflective class

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

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• Decisive convergence spaces, Fréchet spaces and sequential spaces
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• POWERS AND EXPONENTIAL OBJECTS IN INITIALLY STRUCTURED CATEGORIES AND APPLICATIONS TO CATEGORIES OF LIMIT SPACES
• A note on pretopologies
• Convergence quotient maps
• Limit-Operators and Topological Coreflections
• Convergence functions and their related topologies
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• Limesräume und Komplettierung