Families of continuous retractions and function spaces

DOI10.1016/j.jmaa.2016.04.008zbMath1346.54006arXiv1508.00467OpenAlexW2963541517MaRDI QIDQ275306

R. Rojas-Hernández, Salvador García-Ferreira

Publication date: 25 April 2016

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

Full work available at URL: https://arxiv.org/abs/1508.00467

zbMATH Keywords

function spaceCorson compact\(q\)-skeleton\(r\)-skeletonAlexandroff duplicatemonotonically retractablemonotonically Sokolov

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Retraction (54C15) Product spaces in general topology (54B10)

Related Items (9)

Families of retractions and families of closed subsets on compact spaces ⋮ On the class of continuous images of non-commutative Valdivia compacta ⋮ Characterization of (semi-)Eberlein compacta using retractional skeletons ⋮ Characterizing Corson and Valdivia compact spaces ⋮ Hereditarily monotonically Sokolov spaces have countable network weight ⋮ Every \(\Sigma_{s}\)-product of \(K\)-analytic spaces has the Lindelöf {\(\Sigma\)}-property ⋮ The hyperspace of a semi-Eberlein compact space is semi-Eberlein ⋮ Unnamed Item ⋮ Countably compact spaces admitting full \(r\)-skeletons are proximal

Cites Work

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• On some monotone properties
• On monotone stability
• Small Valdivia compact spaces
• The structure of weakly compact sets in Banach spaces
• A \(C_p\)-theory problem book. Topological and function spaces
• Noncommutative Valdivia compacta
• Natural examples of Valdivia compact spaces

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