A remark on Thurston's stability theorem
Richard Sacksteder (1975)
Annales de l'institut Fourier
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The author gives an example showing that Thurston’s stability theorem cannot be generalized to non-oriented foliations.
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Richard Sacksteder (1975)
Annales de l'institut Fourier
Similarity:
The author gives an example showing that Thurston’s stability theorem cannot be generalized to non-oriented foliations.
Giko Ikegami (1989)
Inventiones mathematicae
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C. Bonatti (1993)
Ensaios Matemáticos
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Robert Wolak (1985)
Annales Polonici Mathematici
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Rufus Bowen (1975)
Publications mathématiques et informatique de Rennes
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Nina I. Zhukova (2007)
Banach Center Publications
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We introduce topological 𝒬-holonomy groupoids for singular foliations (M,ℱ) with an Ehresmann connection 𝒬 using 𝒬-holonomy groups, which have a global character. We show advantage of our groupoids over known ones.
Andrzej Piątkowski
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CONTENTSIntroduction...........................................................................................51. Preliminaries.....................................................................................62. Chains along a curve......................................................................143. Some topological properties of foliations with singularities..............224. Holonomy group of a leaf................................................................235. A stability...
Atsushi Sato, Itiro Tamura (1981)
Publications Mathématiques de l'IHÉS
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Carlo Petronio (1999)
Rendiconti del Seminario Matematico della Università di Padova
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E. Ballico (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Elmar Vogt (1989)
Publications Mathématiques de l'IHÉS
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Hanna Matuszczyk (1988)
Annales Polonici Mathematici
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Hiromichi Nakayama (1991)
Annales de l'institut Fourier
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We consider transversely affine foliations without compact leaves of higher genus surface bundles over the circle of pseudo-Anosov type such that the Euler classes of the tangent bundles of the foliations coincide with that of the bundle foliation. We classify such foliations of those surface bundles whose monodromies satisfy a certain condition.