Problèmes de structure dans les feuilletages de codimension un de classe C0

Abstract : The purpose of this work is the qualitative study of C0 class one codimensional foliations. We study the structure of the leaves, the local minimum groups and their existence, the regular open sets. These results are used to study the structure of the foliage, especially those with a defined level. This work is concretized by examples showing that none of the situations presented in this work can be excluded and that the hypotheses introduced are optimal; these examples will also illustrate the great difference between classes C0 and C2. The homeomorphism groups of R in R and the pseudogroups of local homeomorphisms of R+ in R+ fixing the origin have a crucial role in this work.
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https://hal.archives-ouvertes.fr/tel-02377611
Contributor : Khaled Salhi <>
Submitted on : Saturday, November 23, 2019 - 11:32:03 PM
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Ezzeddine Salhi. Problèmes de structure dans les feuilletages de codimension un de classe C0. Mathématiques [math]. Université Louis Pasteur, Strasbourg I, 1984. ⟨tel-02377611⟩

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