Modifying a branched surface to carry a foliation |
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Authors: | Sue Goodman |
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Institution: | a University of North Carolina at Chapel Hill, USA b College of Charleston, 66 George street, Charleston, SC 29424, USA |
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Abstract: | We consider C1 nonsingular flows on a closed 3-manifold under which there is no transverse disk that flows continuously back into its own interior. We provide an algorithm for modifying any branched surface transverse to such a flow ? that terminates in a branched surface carrying a foliation F precisely when F is transverse to ?. As a corollary, we find branched surfaces that do not carry foliations but that lift to ones that do. |
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Keywords: | 57R30 57M50 57M10 57M20 57N10 |
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