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.
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页数：6
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