Solenoidalization and denjoids (Q2725455)
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scientific article; zbMATH DE number 1619237
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solenoidalization and denjoids |
scientific article; zbMATH DE number 1619237 |
Statements
26 March 2003
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\(k\)-solenoids form
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aperiodic flows
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Čech cohomology
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topological classification
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0.8805337
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0.86877644
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Solenoidalization and denjoids (English)
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This paper is devoted to a method (solenoidalization) of obtaining flows on \(k\)-solenoids from a given flow on a torus of the same dimension. The author studies some general properties of such flows and then examines in detail the solenoidalization of the aperiodic flows on \(T^2\) which are not topologically equivalent to linear flows, the minimal sets of which is called denjoids. He calculates the Čech cohomology of denjoids and provides a topological classification of these denjoids.
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