If \(K\) is Gul'ko compact, then every iterated function space \(C_{p,n}(K)\) has a uniformly dense subspace of countable pseudocharacter

DOI10.1016/J.JMAA.2018.10.003zbMath1404.54014OpenAlexW2895638918MaRDI QIDQ1799780

J. Aguilar-Velázquez, Vladimir V. Tkachuk

Publication date: 19 October 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.10.003

zbMATH Keywords

Corson compactGul'ko compact\(\psi\)-separable spaceiterated function spacesuniformly dense subspace

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (3)

If \(K\) is a Valdivia compact space, then \(C_p(K)\) is uniformly \(\psi\)-separable ⋮ For every space \(X\), either \(C_{p}C_{p}(X)\) or \(C_{p}C_{p}C_{p}(X)\) is \(\psi\)-separable ⋮ On uniformly dense Lindelöf subspaces of function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lindelöf \(\Sigma\)-spaces: an omnipresent class
• Properties of function spaces reflected by uniformly dense subspaces.
• Behavior of the Lindelöf \(\Sigma\)-property in iterated function spaces
• A \(C_p\)-theory problem book. Compactness in function spaces
• Discrete reflexivity in function spaces
• On dense subspaces of countable pseudocharacter in function spaces
• A \(C_p\)-theory problem book. Topological and function spaces
• Everywhere dense subspaces of products of topological spaces with special properties

This page was built for publication: If \(K\) is Gul'ko compact, then every iterated function space \(C_{p,n}(K)\) has a uniformly dense subspace of countable pseudocharacter