Properties of function spaces reflected by uniformly dense subspaces.

DOI10.1016/S0166-8641(03)00002-6zbMath1121.54034OpenAlexW2014749010MaRDI QIDQ1403816

Vladimir V. Tkachuk

Publication date: 4 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(03)00002-6

zbMATH Keywords

LindelöfCompactness\({\Sigma}\)-propertyCountable compactnessPointwise convergence topologyPseudocompactnessUniformly dense

Mathematics Subject Classification ID

Continuous maps (54C05) Function spaces in general topology (54C35) Compactness (54D30) Product spaces in general topology (54B10)

Related Items (6)

A selection of recent results and problems in \(C_{p}\)-theory ⋮ Uniform structures in the beginning of the third millenium ⋮ On dense subspaces of countable pseudocharacter in function spaces ⋮ If \(K\) is a Valdivia compact space, then \(C_p(K)\) is uniformly \(\psi\)-separable ⋮ On uniformly dense Lindelöf subspaces of function spaces ⋮ If \(K\) is Gul'ko compact, then every iterated function space \(C_{p,n}(K)\) has a uniformly dense subspace of countable pseudocharacter

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• Normality in Subsets of Product Spaces
• On the tightness of spaces of continuous functions

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