On the Topological Classification of Fractal Squares

On the Topological Classification of Fractal Squares
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DOI:
10.1142/s0218348x17500281
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发表时间:
2017-05
期刊:
Fractals
影响因子:
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通讯作者:
Feng Rao;Xiaohuan Wang;S. Wen
Feng Rao;Xiaohuan Wang;S. Wen
中科院分区:
其他
文献类型:
--
作者:
Feng Rao;Xiaohuan Wang;S. Wen

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分形正方形是平面上满足F =(F + D)/n的非空紧集,其中n > 1是整数,D {0,1,2,.,n-1}2是非空的。给出了n = 3,Card(D)= 6的分形正方形的拓扑分类.
A fractal square is a nonempty compact set in the plane satisfying F = (F + D)/n, where n > 1 is an integer and D ⊂{0, 1, 2,…,n − 1}2 is nonempty. We give the topological classification of fractal squares with n = 3 and Card(D) = 6.