No Roberts space is a counter-example to Schauder's conjecture

DOI10.1016/0040-9383(94)90018-3zbMath0805.47054OpenAlexW2016799908WikidataQ122949655 ScholiaQ122949655MaRDI QIDQ1327332

Le Hoang Tri, Nguyen To Nhu

Publication date: 15 June 1994

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(94)90018-3

zbMATH Keywords

fixed point propertySchauder conjectureneedle point spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (8)

The fixed point property for weakly admissible compact convex sets: Searching for a solution to Schauder's conjecture ⋮ The AR-property for Roberts’ example of a compact convex set with no extreme points Part 1: General result ⋮ The AR-property for Roberts’ example of a compact convex set with no extreme points Part 2: Application to the example ⋮ Fixed points for convex continuous mappings in topological vector spaces ⋮ Fixed point theorem in subsets of topological vector spaces ⋮ The admissibility and the AR-property of some unbounded convex sets in a class of non-locally convex spaces containing \(l_p\) \((0<p<1)\) ⋮ Unnamed Item ⋮ The Kakutani fixed point theorem for Roberts spaces

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