Disconnected Julia sets of quartic polynomials and a new topology of the symbol space

被引：0

作者：

Katagata, Koh ^{[1
]}

机构：

[1] Shimane Univ, Interdisciplinary Grad Sch Sci & Engn, Matsue, Shimane 6908504, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2008年 / 84卷 / 07期

关键词：

quartic polynomials; disconnected Julia sets; symbolic dynamics;

D O I：

10.3792/pjaa.84.117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a certain quartic polynomial, there exists a homeomorphism between the set of all components of the filled-in Julia set with the Hausdorff metric and some subset of the corresponding symbol space with the ordinary metric. But these sets are not compact with respect to each metric. We introduce a new topology with respect to which these sets are compact.

引用

页码：117 / 122

页数：6