An interesting class of \(C^{1}\) foliations (Q1867186)
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scientific article; zbMATH DE number 1891212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An interesting class of \(C^{1}\) foliations |
scientific article; zbMATH DE number 1891212 |
Statements
An interesting class of \(C^{1}\) foliations (English)
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2 April 2003
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The authors describe a class of depth two foliations in which certain growth conditions allow \(C^1\)-smoothability, but obstruct higher order smoothability. As a result, there exist uncountably many examples of \(C^1\)-foliations that are not homeomorphic to \(C^2\)-foliations, as well as uncountably many \(C^0\)-foliations that are not homeomorphic to \(C^1\)-foliations.
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smoothability
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proper foliation
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depth
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growth type
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quasi-polynomial growth
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