Automorphisms of Thurston’s Space of Measured Laminations
نویسنده
چکیده
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 smooth manifold X and let F be the set of all smooth functions on X . Then (X,F) is the smooth structure on X . An automorphism of a structure (X , F) is a self-homeomorphism φ of X so that φ(F) = F where φ(F) = {f ◦ φ|f ∈ F}.
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