Incompressibility of Measured Laminations in 3-Manifolds
نویسندگان
چکیده
منابع مشابه
Heegaard Surfaces and Measured Laminations, Ii: Non-haken 3-manifolds
A famous example of Casson and Gordon shows that a Haken 3-manifold can have an infinite family of irreducible Heegaard splittings with different genera. In this paper, we prove that a closed non-Haken 3-manifold has only finitely many irreducible Heegaard splittings, up to isotopy. This is much stronger than the Walderhausen conjecture. Another immediate corollary is that for any irreducible n...
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1. We begin with some abstract definitions. Suppose X is a topological space and F is a collection of real valued (or complex valued) functions on X . We say that F defines an Fstructure (X , F) on X if the topology on X is the weakest topology so that each element in F is continuous, i.e., the collection {f(U)| U open in R, f ∈ F} forms a subbasis for the topology on X . For instance, take a s...
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 1989
ISSN: 0387-3870
DOI: 10.3836/tjm/1270133554