Intersections of the pieces of self-similar dendrites in the plane

被引：1

作者：

Allabergenova, Klara ^{[1
]}

Samuel, Mary ^{[2
]}

Tetenov, Andrei ^{[3
]}

机构：

[1] Novosibirsk State Univ, 1 Pirogova Str, Novosibirsk 630090, Russia

[2] Indian Inst Informat Technol Lucknow IIITL, Lucknow 226002, Uttar Pradesh, India

[3] Sobolev Inst Math, 4 Koptyug Ave, Novosibirsk 630090, Russia

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 182卷

关键词：

Self-similar set; Dendrite; Open set condition; Weak separation property; Intersection graph; INFINITE LENGTH; SEPARATION; CURVES;

D O I：

10.1016/j.chaos.2024.114805

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that each self -similar dendrite in the plane has the weak separation property and that the ramification orders of its points are bounded. We show that there are self -similar dendrites in the plane that satisfy the Open Set Condition, such that several pieces may intersect in the same non -trivial subdendrite.

引用

页数：6

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