On paracompactness, completeness and boundedness in uniform spaces

DOI10.1016/j.topol.2015.12.079zbMath1336.54025OpenAlexW2234628791MaRDI QIDQ266319

Ana S. Meroño, M. Isabel Garrido

Publication date: 13 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.12.079

zbMATH Keywords

Bourbaki-boundednessBourbaki-completenesscofinal Bourbaki-completenessstrong uniform paracompactnessuniform paracompactness

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) 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)

Related Items (7)

Homomorphisms on Topological Groups from the Perspective of Bourbaki-boundedness ⋮ The Samuel realcompactification ⋮ Precompact in a generalization of semi-linear uniform spaces ⋮ A universal space for the Bourbaki-complete spaces and further examples ⋮ On certain new types of completeness properties using infinite chainability and associated metrization problems in uniform spaces ⋮ On strongly Čech-complete spaces ⋮ Cofinal completeness vis-á-vis hyperspaces

Cites Work

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• Uniform continuity of continuous functions of metric spaces
• Some properties of the Stone-Čech compactification
• Modern analysis and topology
• Special uniformities
• Between compactness and completeness
• The Determination of Paracompactness by Uniformities
• A Note on Uniform Paracompactness
• New types of completeness in metric spaces
• On completeness

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