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math.GT2015
Thurston's h-principle for 2-dimensional Foliations of Codimension Greater than One
Yoshihiko Mitsumatsu, Elmar Vogt
We recreate an unpublished proof of William Thurston from the early 1970's that any smooth 2-plane field on a manifold of dimension at least 4 is homotopic to the tangent plane fie…
math.GT2002★ 4 cited
Foliations with few non-compact leaves
Elmar Vogt
Let F be a foliation of codimension 2 on a compact manifold with at least one non-compact leaf. We show that then F must contain uncountably many non-compact leaves. We prove the s…