Some uniformities on \(X\) related to topological properties of \(C(X)\)

DOI10.1016/J.TOPOL.2014.05.001zbMath1309.54010OpenAlexW2086065194MaRDI QIDQ2452040

Juan Carlos Ferrando

Publication date: 28 May 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.05.001

zbMATH Keywords

uniform spaceweb-compact spacetrans-separable spaceDCCC property

Mathematics Subject Classification ID

Compactness (54D30) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Uniform structures and generalizations (54E15)

Related Items (2)

Descriptive topology for analysts ⋮ Some topological properties of \(C_b(X)\)

Cites Work

• Descriptive topology in selected topics of functional analysis
• The topology of compact convergence on continuous function spaces
• On quasi-Souslin \(C_{c}(X)\) spaces
• On compactness in locally convex spaces
• A characterization of trans-separable spaces
• On precompact sets in spaces Cc(X)
• Pointwise Compactness in Spaces of Continuous Functions
• Weak and Pointwise Compactness in the Space of Bounded Continuous Functions
• Another note on Kalton's theorems
• Pseudocompact spaces $X$ and $df$-spaces $C_{c}\left ( X\right ) $
• Necessary and sufficient conditions for precompact sets to be metrisable
• The Discrete Countable Chain Condition
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