Foliations with nonorientable leaves
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- by W. G. Dwyer, D. B. Ellis and R. H. Szczarba PDF
- Proc. Amer. Math. Soc. 89 (1983), 733-737 Request permission
Abstract:
We prove that a codimension one foliation of an orientable paracompact manifold has at most a countable number of nonorientable leaves. We also give an example of a codimension one foliation of a compact orientable manifold with an infinite number of nonorientable leaves.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 733-737
- MSC: Primary 57R30; Secondary 57R99
- DOI: https://doi.org/10.1090/S0002-9939-1983-0719007-X
- MathSciNet review: 719007