Leray-Schauder spaces (Q5953914)
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scientific article; zbMATH DE number 1697590
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Leray-Schauder spaces |
scientific article; zbMATH DE number 1697590 |
Statements
Leray-Schauder spaces (English)
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10 April 2003
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A completely regular topological space \(X\) is called LS-space if the classical Leray-Schauder continuation theorem for compact homotopies holds in \(X\). The authors prove that \(X\) is an LS-space if and only if every compactly null-homotopic map \(f\) in \(X\) (i.e., \(f\) may joined by a compact homotopy to a constant map) has a fixed point.
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Leray-Schauder space
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existence of fixed points
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compactly null-homotopic map
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