Uniform boundedness in function spaces

DOI10.1016/j.topol.2018.04.006OpenAlexW2962998886MaRDI QIDQ1646555

L'ubica Holá, Ljubiša D. R. Kočinac

Publication date: 25 June 2018

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

Full work available at URL: https://arxiv.org/abs/1802.05746

zbMATH Keywords

Fréchet spacefunction spacespseudocompact\(\omega\)-bounded(strictly) \(\mathsf{H}\)-bounded(strictly) \(\mathsf{M}\)-bounded\(\mathsf{R}\)-bounded

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Uniform structures and generalizations (54E15) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Related Items (2)

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Cites Work

• Topological properties of spaces of continuous functions
• Topologies on the space of continuous functions
• Topological groups close to being \(\sigma\)-compact
• An extension of Tietze's theorem
• Boundedness properties in function spaces
• Completeness and related properties of the graph topology on function spaces
• Compactness in the fine and related topologies
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