Almost continuous extension for taut foliations

Details Almost continuous extension for taut foliations Almost continuous extension for taut foliations

2000-08-15

arxiv.org/abs/math/0008113v2

Math. Res. Lett. 8 (2001), 637-640

Mathematics

Geometric Topology

3 pages; incorporates some suggestions of the referee

Scientific paper

A taut foliation of a hyperbolic 3-manifold has the continuous extension
property for leaves in almost every direction; that is, for each leaf of the
universal cover of the foliation and almost every geodesic ray in the leaf, the
limit of the ray in the universal cover of the 3-manifold is a well-defined
point in the ideal boundary.

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