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The stability of foliations of orientable 3-manifolds covered by a product
Author(s):
Sandra
L.
Shields
Journal:
Trans. Amer. Math. Soc.
348
(1996),
4653-4671.
MSC (1991):
Primary 57M12, 57M20, 57N10, 57R30, 58F10
MathSciNet review:
1355076
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Abstract:
We examine the relationship between codimension one foliations that are covered by a trivial product of hyperplanes and the branched surfaces that can be constructed from them. We present a sufficient condition on a branched surface constructed from a foliation to guarantee that all  perturbations of the foliation are covered by a trivial product of hyperplanes. We also show that a branched surface admits a strictly positive weight system if and only if it can be constructed from a fibration over  .
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Additional Information:
Sandra
L.
Shields
Affiliation:
Department of Mathematics, College of Charleston, Charleston, South Carolina 29424
DOI:
10.1090/S0002-9947-96-01631-5
PII:
S 0002-9947(96)01631-5
Keywords:
Branched surface,
foliation,
leaf space,
holonomy map,
topological equivalency
Received by editor(s):
February 5, 1993 and, in final form, October 9, 1995
Copyright of article:
Copyright
1996,
American Mathematical Society
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