Every orientable 3-manifold is a .
Calegari, Danny (2002)
Algebraic & Geometric Topology
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Calegari, Danny (2002)
Algebraic & Geometric Topology
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Vogt, Elmar (2002)
Algebraic & Geometric Topology
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Honda, Ko, Kazez, William H., Matić, Gordana (2000)
Geometry & Topology
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Adachi, Jiro (2002)
Algebraic & Geometric Topology
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John Cantwell, Lawrence Conlon (1988)
Annales de l'institut Fourier
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Compact, -foliated manifolds of codimension one, having all leaves proper, are shown to be -smoothable. More precisely, such a foliated manifold is homeomorphic to one of class . The corresponding statement is false for foliations with nonproper leaves. In that case, there are topological distinctions between smoothness of class and of class for every nonnegative integer .
D. B. A. Epstein (1976)
Annales de l'institut Fourier
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The notion of the “volume" of a leaf in a foliated space is defined. If is a compact leaf, then any leaf entering a small neighbourhood of either has a very large volume, or a volume which is approximatively an integral multiple of the volume of . If all leaves are compact there are three related objects to study. Firstly the topology of the quotient space obtained by identifying each leaf to a point ; secondly the holonomy of a leaf ; and thirdly whether the leaves have a locally...
Calegari, Danny (2000)
Geometry & Topology
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David Gabai (1992)
Annales de l'institut Fourier
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Let be a compact oriented 3-manifold whose boundary contains a single torus and let be a taut foliation on whose restriction to has a Reeb component. The main technical result of the paper, asserts that if is obtained by Dehn filling along any curve not parallel to the Reeb component, then has a taut foliation.
Calegari, Danny (1999)
Geometry & Topology
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