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

2015/09/23 by Yoshihiko Mitsumatsu, Mitsumatsu, Yoshihiko, Elmar Vogt +1
Mathematics · #57R32 #FOS: Mathematics #Geometric Topology (math.GT) #History and Theory of Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications #Primary 57R30 #Secondary 58D05

paper · pdf · doi:10.48550/arxiv.1509.06881

openalex publication_date 2015/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We recreate an unpublished proof of William Thurston from the early 1970's\nthat any smooth 2-plane field on a manifold of dimension at least 4 is\nhomotopic to the tangent plane field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

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