Representation of homeomorphisms in Hilbert space. (Q2592961)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation of homeomorphisms in Hilbert space. |
scientific article |
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Representation of homeomorphisms in Hilbert space. (English)
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1939
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Durch eine Verfeinerung von \textit{Tychonoff}s Methode (Math. Ann., Berlin, 102 (1929), 544-561; F. d. M. \(55_{\text{II}}\), 963) beweist Verf., daß jede topologische Selbstabbildung eines normalen topologischen Raumes \(S\) in einem mit \(S\) homöomorphen Koordinatenraum der Punkte \((x_1, x_2, \dots)\) (im allgemeinen von nicht abzählbarer Dimension) in der Form \(x_\alpha^\prime = x_\beta\) darstellbar ist, wobei \(\alpha\) alle, \(\beta\) nur gewisse Koordinatenindices durchläuft.
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