Expansion growth of foliations (Q1261233)

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scientific article; zbMATH DE number 404393
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Expansion growth of foliations
scientific article; zbMATH DE number 404393

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    Expansion growth of foliations (English)
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    31 August 1993
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    Section 0 (Introduction) recalls in particular the notion of the entropy of a foliation and presents an outline of the contents of the paper. In Section 1 (Growth) it is defined the growth of an increasing sequence of increasing functions (an auxiliary notion). In particular polynomial growth and quasi-exponential growth is defined. Exponential growth of a foliation on a compact manifold is defined in Section 2, where certain properties of this notion are described. The case of a transversely oriented codimension 1 foliation of the class \(C^ 0\) on a compact manifold is discussed in the last Section 2.
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    exponential growth
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    entropy of a foliation
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    growth
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    polynomial growth
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    quasi-exponential growth
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