The AR-property for Roberts’ example of a compact convex set with no extreme points Part 2: Application to the example

DOI10.1090/S0002-9939-97-04021-5zbMath0890.54016OpenAlexW1531113850MaRDI QIDQ4356722

Nguyen To Nhu, Tran Van An, Jose M. Rodriguez Sanjurjo

Publication date: 1 October 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04021-5

zbMATH Keywords

extreme pointlinear metric spaceconvex setabsolute retract

Mathematics Subject Classification ID

Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Local compactness, (sigma)-compactness (54D45)

Related Items (3)

The fixed point property for weakly admissible compact convex sets: Searching for a solution to Schauder's conjecture ⋮ Open problems in topology. ⋮ The Kakutani fixed point theorem for Roberts spaces

Cites Work

• Shrinkable neighborhoods in Hausdorff linear spaces
• Leray-Schauder theory without local convexity
• A re-examination of the Roberts example of a compact convex set without extreme points
• No Roberts space is a counter-example to Schauder's conjecture
• Some Applications of The Topological Characterizations of the Sigma-Compact Spaces l 2 f and &#8721
• Investigating the ANR-property of metric spaces
• A compact convex set with no extreme points
• Every Needle Point Space Contains a Compact Convex AR-Set with no Extreme Points
• The Compact Neighborhood Extension Property and Local Equi-Connectedness
• The Finite Dimensional Approximation Property and the AR-Property in Needle Point Spaces
• On extreme points of regular convex sets
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