Thurston's h-principle for 2-dimensional Foliations of Codimension Greater than One
Geometric Topology
2015-09-24 v1
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We recreate an unpublished proof of William Thurston from the early 1970's that any smooth 2-plane field on a manifold of dimension at least 4 is homotopic to the tangent plane field of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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Cite
@article{arxiv.1509.06881,
title = {Thurston's h-principle for 2-dimensional Foliations of Codimension Greater than One},
author = {Yoshihiko Mitsumatsu and Elmar Vogt},
journal= {arXiv preprint arXiv:1509.06881},
year = {2015}
}
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23 pages