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arXiv · 1509.06881

Thurston's h-principle for 2-dimensional Foliations of Codimension Greater than One

Yoshihiko Mitsumatsu·Elmar Vogt
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Abstract

We recreate an unpublished proof of William Thurston from the early 1970's that any smooth 2-plane field on a manifold of dimension at least 4 is homotopic to the tangent plane field of a foliation.

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Yoshihiko Mitsumatsu, Elmar Vogt. 2015-09-23. Thurston's h-principle for 2-dimensional Foliations of Codimension Greater than One. https://arxiv.org/abs/1509.06881

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