Aspects of the Qualitative Theory of Suspended Foliations |
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Authors: | Nina I Zhukova Georgy V Chubarov |
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Institution: | Department of Mathematics and Mechanics , Nizhny Novgorod State University , 23 Gagarin Ave., Nizhny Novgorod, 603600, Russia |
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Abstract: | We proved that the set of suspended foliations of a compact manifold M is open in the space of foliations with C r -topology. Relation between sets of suspended foliations with Hausdorff and non-Hausdorff graphs are investigated from topological and set-theoretical points of view. Continuum set of pairwise non-isomorphic C X -diffeomorphisms of 1-dimensional manifold with special properties is constructed and used essentially. |
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Keywords: | Foliation Graph Of Foliation Suspension Ehresmann Connection Generic Property |
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