On closedness assumptions in selection theorems

DOI10.1016/J.TOPOL.2006.08.011zbMath1121.54037OpenAlexW1987546034MaRDI QIDQ886314

Pavel V. Semenov, Dušan D. Repovš

Publication date: 26 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2006.08.011

zbMATH Keywords

continuous selectionlower semicontinuous map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Extension of maps (54C20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (1)

Michael's problem and weakly infinite-dimensional spaces

Cites Work

• Continuous selections. I
• A selection theorem for \(C\)-spaces
• Continuous selections as uniform limits of \(\delta\)-continuous \(\varepsilon\)-selections
• A theorem on semi-continuous set-valued functions
• Continuous selections and $C$-spaces
• Dense families of continuous selections
• Selections and near-selections in metric linear spaces without local convexity
• Continuous selections and countable sets
• A note on infinite dimensional convex sets.
• Continuous selections of multivalued mappings
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