Foliations with nonorientable leaves
Authors:
W. G. Dwyer, D. B. Ellis and R. H. Szczarba
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
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Abstract | References | Similar Articles | Additional Information
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.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1983-0719007-X
Article copyright:
© Copyright 1983
American Mathematical Society
