Arcwise connectedness of the boundary of connected self-similar sets

Arcwise connectedness of the boundary of connected self-similar sets
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DOI:
10.1007/s10474-005-0249-0
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发表时间:
2005-11
影响因子:
0.9
通讯作者:
T. Tang
T. Tang
中科院分区:
数学3区
文献类型:
--
作者:
T. Tang

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LetTbe the connected attractor of injective contractionsf1,...fmonRdthat satisfy the Open Set Condition. We show that ∂Tis arcwise connected. In particular, the boundary of the Levy dragon and those of the fundamental domains of canonical number systems are arcwise connected.