On self-similar dendrites with branch points of infinite order

Makhliyo B. Kadirova

0009-0001-8714-9451

Scopus Author ID: 59737746700

1. Novosibirsk State University, Novosibirsk, Russia

m.kadirova@g.nsu.ru

Andrei V. Tetenov

0000-0001-5419-5710

Scopus Author ID: 6507500410

Researcher ID: 12945

1. Novosibirsk state university, Novosibirsk, Russia

2. Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

a.tetenov@g.nsu.ru

As is well known, for self-similar dendrites in $\mathbb R^2$, the ramification orders of their points are bounded. This article proves the existence of self-similar dendrites in $\mathbb R^5$ with ramification points of infinite order.

УДК 517.54+515.12+519.172

Keywords: self-similar dendrite, ramification point, weak separation property, general position theorem.