No Roberts space is a counter-example to Schauder's conjecture (Q1327332)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: No Roberts space is a counter-example to Schauder's conjecture |
scientific article; zbMATH DE number 590281
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | No Roberts space is a counter-example to Schauder's conjecture |
scientific article; zbMATH DE number 590281 |
Statements
No Roberts space is a counter-example to Schauder's conjecture (English)
0 references
15 June 1994
0 references
The famous Schauder conjecture states that every compact convex set in a metric linear space has the fixed point property. In the present paper the authors show that all compact convex sets constructed by \textit{J. W. Roberts} [Stud. Math. 60, 255-266 (1977; Zbl 0397.46010)] in so-called needle point spaces have the fixed point property.
0 references
Schauder conjecture
0 references
fixed point property
0 references
needle point spaces
0 references
