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| THE TOPOLOGY OF JULIA SETS FOR GEOMETRICALLY FINITEPOLYNOMIALS |
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Citation： |
Yin Yongcheng.THE TOPOLOGY OF JULIA SETS FOR GEOMETRICALLY FINITEPOLYNOMIALS[J].Chinese Annals of Mathematics B,1998,19(1):77~80 |
| Page view： 916
Net amount： 760 |
Authors： |
Yin Yongcheng; |
Foundation： |
Project supported by the National Natural Science
Foundation of China, Tian Yuan Foundation and the Natural Science
Foundation of Zhejiang Province. |
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| 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 |
Classification： |
58F08, 30D05 |
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