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GEOMETRICALLY FINITE AND SEMI-RATIONAL BRANCHED COVERINGS OF THE TWO-SPHERE

文献类型：期刊论文

作者Cui, Guizhen1; Jiang, Yunping2,3
刊名TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
出版日期2011-05-01
卷号363期号:5页码:2701-2714
关键词Geometrically finite branched covering semi-rational branched covering sub-hyperbolic semi-rational branched covering
ISSN号0002-9947
英文摘要In 1982, Thurston gave a necessary and sufficient condition for a critically finite branched covering of the two-sphere to itself to be combinatorially equivalent to a rational map. We discuss extending this result to geometrically finite rational maps. We give an example to show that Thurston's original condition is not sufficient. This example is topologically pathological near accumulation points of the postcritical set. We give two conditions forbidding such pathology, show that they are equivalent, and (in a sequel to the present paper) will show that Thurston's condition together with this tameness is both necessary and sufficient to characterize geometrically finite rational maps.
资助项目NSF ; PSC-CUNY ; NSFC[10831004] ; BaiRenJiHu
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000290511300017
出版者AMER MATHEMATICAL SOC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11936]  
专题数学所
通讯作者Cui, Guizhen
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.CUNY, Dept Math, Queens Coll, Flushing, NY 11367 USA
3.CUNY Grad Ctr, Dept Math, New York, NY 10016 USA
推荐引用方式
GB/T 7714		 Cui, Guizhen,Jiang, Yunping. GEOMETRICALLY FINITE AND SEMI-RATIONAL BRANCHED COVERINGS OF THE TWO-SPHERE[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2011,363(5):2701-2714.
APA Cui, Guizhen,&Jiang, Yunping.(2011).GEOMETRICALLY FINITE AND SEMI-RATIONAL BRANCHED COVERINGS OF THE TWO-SPHERE.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,363(5),2701-2714.
MLA Cui, Guizhen,et al."GEOMETRICALLY FINITE AND SEMI-RATIONAL BRANCHED COVERINGS OF THE TWO-SPHERE".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 363.5(2011):2701-2714.

入库方式： OAI收割

来源：数学与系统科学研究院

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