Topological Entropy on Saddle Sets in P
نویسنده
چکیده
We consider hyperbolic sets of saddle type for holomorphic mappings in P. Our main result relates topological entropy on such sets to a normal families condition on local unstable manifolds.
منابع مشابه
TOPOLOGICAL ENTROPY ON SADDLE SETS IN P 2 JEFFREY DILLER and MATTIAS JONSSON
0. Introduction. The Fatou set of a holomorphic map f : P is the largest open subset of P on which iterates of f form a normal family. The complement of is called the Julia set when k = 1, and it is well known that the Julia set is the closure of the set of repelling periodic points. When k = 2, however, even product maps suffice to show that the structure of P2\ is more intricate. For instance...
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