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VISIBILITY OF CARTESIAN PRODUCTS OF CANTOR SETS
Fractals ( IF 4.7 ) Pub Date : 2020-05-27 , DOI: 10.1142/s0218348x20501194
TINGYU ZHANG 1 , KAN JIANG 2 , WENXIA LI 1
Affiliation  

Let [Formula: see text] be the attractor of the following iterated function system(IFS): [Formula: see text] Given [Formula: see text], we say the line [Formula: see text] is visible through [Formula: see text] if [Formula: see text] Let [Formula: see text]. In this paper, we give a complete description of [Formula: see text], containing its Hausdorff dimension and topological properties.

中文翻译:

康托集的笛卡尔积的可见性

令 [Formula: see text] 成为以下迭代函数系统 (IFS) 的吸引子: [Formula: see text] 给定 [Formula: see text],我们说线 [Formula: see text] 通过 [Formula: see text] 可见见文本] if [公式:见文本] 让 [公式:见文本]。在本文中,我们给出了[公式:见正文]的完整描述,包括其豪斯多夫维数和拓扑性质。
更新日期:2020-05-27
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