Annals of Mathematics Studies, Issue 160 |
Contents
Riemann Surfaces | 1 |
Universal Coverings and the Poincaré Metric | 13 |
Montels Theorem | 30 |
Copyright | |
35 other sections not shown
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Common terms and phrases
annulus attracting fixed point automorphism boundary choose compact set compact subset Compare Problem compute conformal automorphism conformally isomorphic conjugate connected component constant contains converges Corollary corresponding covering map Cremer point critical point curve defined definition disjoint dynamics equal equation Euclidean example Fatou component Fatou set Figure filled Julia set follows easily ƒ maps half-plane hence Herman ring holomorphic function holomorphic map homeomorphism identity map inequality infinite integer intersection iterate linear locally connected locally uniformly map f map ƒ Math Milnor neighborhood open set open subset orbifold periodic orbit periodic point Poincaré metric point of multiplier preimages proof of Lemma proof of Theorem prove punctured disk quadratic ramified points rational map repelling petal Riemann sphere Riemann surface rotation number satisfies sequence Siegel disk simply connected space superattracting tends to zero topological unique unit circle unit disk universal covering vector