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Analytic self-maps of the punctured plane

 

作者: I.N. Baker,   P. Dominguez,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1998）
卷期: Volume 37, issue 1-4  

页码: 67-91

 

ISSN:0278-1077

 

年代: 1998

 

DOI:10.1080/17476939808815123

 

出版商: Gordon and Breach Science Publishers

 

关键词: Julia set;Fatou set;connected components;orbits of rings;30D05;58F05

 

数据来源: Taylor

 

摘要:

Letfbe a non-Möbius self-map ofC*. WriteJ*(f) for the Julia Set offin Ĉ andJ(f) for the closure ofJ*(f) inČ. Then we have one of the three cases (i)J(f),J*(f) are connected, (ii)J(f) is connected,J*(f) has infinitely many components, (iii)J(f) has two components,J*(f) has infinitely many components. All three cases can occur.

 

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