Point sets in three and higher dimensions and their investigation by means of a unified analysis situs (Q567040)
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scientific article; zbMATH DE number 2550932
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Point sets in three and higher dimensions and their investigation by means of a unified analysis situs |
scientific article; zbMATH DE number 2550932 |
Statements
Point sets in three and higher dimensions and their investigation by means of a unified analysis situs (English)
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1932
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Verf. behandelt in diesem Bericht topologische Probleme, bei deren Untersuchung sich die Verschmelzung von mengentheoretischen und kombinatorischen Methoden als besonders fruchtbar erwiesen hat. Im Mittelpunkt stehen Zerlegungs- und Verschlingungseigenschaften der kompakten abgeschlossenen Mengen einschließlich der Alexandroffschen Dimensionstheorie [Math. Ann. 106, 161--238 (1932; JFM 58.0624.01; Zbl 0004.07301)]; daneben werden auch Homöomorphieprobleme, insbesondere Charakterisierung der Sphären, und Einbettungssätze erwähnt.
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