The admissibility and the AR-property of some unbounded convex sets in a class of non-locally convex spaces containing \(l_p\) \((0

DOI10.1007/s10013-014-0059-1zbMath1362.54018OpenAlexW1971088065MaRDI QIDQ2510596

Nguyen Hoang Thanh

Publication date: 1 August 2014

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-014-0059-1

zbMATH Keywords

AR-propertyconvex setadmissibilitynon-locally convex space

Mathematics Subject Classification ID

Topology of topological vector spaces (57N17) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Cites Work

• Shrinkable neighborhoods in Hausdorff linear spaces
• Leray-Schauder theory without local convexity
• Some remarks on the AR-problem
• No Roberts space is a counter-example to Schauder's conjecture
• Every Needle Point Space Contains a Compact Convex AR-Set with no Extreme Points
• On Extending Mappings into Nonlocally Convex Linear Metric Spaces
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