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THE TOPOLOGY OF JULIA SETS FOR GEOMETRICALLY FINITE POLYNOMIALS
引用本文:Yin Yongcheng. THE TOPOLOGY OF JULIA SETS FOR GEOMETRICALLY FINITE POLYNOMIALS[J]. 数学年刊B辑(英文版), 1998, 19(1): 77-80
作者姓名:Yin Yongcheng
摘    要:THETOPOLOGYOFJULIASETSFORGEOMETRICALLYFINITEPOLYNOMIALSYINYONGCHENGManuscriptreceivedJune3,1995.RevisedApril3,1997.Instit...

关 键 词:朱丽叶集  拓扑  有限几何多项式  有理映射
修稿时间:1997-04-03

THE TOPOLOGY OF JULIA SETS FOR GEOMETRICALLY FINITEPOLYNOMIALS
Yin Yongcheng. THE TOPOLOGY OF JULIA SETS FOR GEOMETRICALLY FINITEPOLYNOMIALS[J]. Chinese Annals of Mathematics,Series B, 1998, 19(1): 77-80
Authors:Yin Yongcheng
Affiliation:Y IN Y ONGCHENG *
Abstract:By means of the Branner-Hubbard puzzle, the author studies the topology of filled-in Julia sets for geometrically finite polynomials,and proves a conjecture of C. McMullen and a conjecture of B. Branner and J. H. Hubbard partially.
Keywords:Filled-in Julia set   Geometrically finite polynomial  Topology
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