Finiteness properties for self-similar continua | Sciact - Система учета научной деятельности ИМ СО РАН

Finiteness properties for self-similar continua Научная публикация

Журнал

Discrete and Continuous Dynamical Systems - Series S
ISSN: 1937-1632 , E-ISSN: 1937-1179

Вых. Данные

Год: 2025, Номер статьи : 2025057, Страниц : 13 DOI: 10.3934/dcdss.2025057

Ключевые слова

Self-similar set, dendrite, polygasket, open set condition, finite inter- section property, intersection graph, slope parameter.

Авторы

Tetenov Andrei ¹ , Yudin Ivan ¹ , Kadirova Makhliyo ²

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russia
2	Novosibirsk State University, Russia

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0005

We consider self-similar continua possessing the finite intersection property and prove the intersection graph criterion for self-similar dendrites, the finite order Theorem for FIP continua satisfying the open set condition in , and the parameter matching Theorem which states that all Jordan arcs starting from an intersection point in such a continuum on a plane should have the same slope parameter at that point.

Tetenov A. , Yudin I. , Kadirova M.
Finiteness properties for self-similar continua
Discrete and Continuous Dynamical Systems - Series S. 2025. 2025057 :1-13. DOI: 10.3934/dcdss.2025057 WOS OpenAlex

Поступила в редакцию:	2 мар. 2025 г.
Принята к публикации:	21 апр. 2025 г.
Опубликована online:	25 апр. 2025 г.

Web of science:	WOS:001477053300001
OpenAlex:	W3185744083

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