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Finiteness properties for self-similar continua. / Tetenov, Andrei; Yudin, Ivan; Kadirova, Makhliyo.

In: Discrete and Continuous Dynamical Systems - S, Vol. 0, No. 0, 2025, p. 0-0.

Research output: Contribution to journal › Article › peer-review

Harvard

Tetenov, A, Yudin, I & Kadirova, M 2025, 'Finiteness properties for self-similar continua', Discrete and Continuous Dynamical Systems - S, vol. 0, no. 0, pp. 0-0. https://doi.org/10.3934/dcdss.2025057

APA

Tetenov, A., Yudin, I., & Kadirova, M. (2025). Finiteness properties for self-similar continua. Discrete and Continuous Dynamical Systems - S, 0(0), 0-0. https://doi.org/10.3934/dcdss.2025057

Vancouver

Tetenov A, Yudin I, Kadirova M. Finiteness properties for self-similar continua. Discrete and Continuous Dynamical Systems - S. 2025;0(0):0-0. doi: 10.3934/dcdss.2025057

Author

Tetenov, Andrei ; Yudin, Ivan ; Kadirova, Makhliyo. / Finiteness properties for self-similar continua. In: Discrete and Continuous Dynamical Systems - S. 2025 ; Vol. 0, No. 0. pp. 0-0.

BibTeX

@article{c91b3d45aa2a4ef2a7b8c41c57c3c936,
title = "Finiteness properties for self-similar continua",
abstract = "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.",
keywords = "Self-similar set, Dendrite, polygasket, Open set condition, finite intersection property, Intersection graph, slope parameter",
author = "Andrei Tetenov and Ivan Yudin and Makhliyo Kadirova",
note = "Tetenov A. Finiteness properties for self-similar continua / A. Tetenov, I. Yudin, M. Kadirova // Discrete and Continuous Dynamical Systems - S. - 2025. doi: 10.3934/dcdss.2025057 ",
year = "2025",
doi = "10.3934/dcdss.2025057",
language = "English",
volume = "0",
pages = "0--0",
journal = "Discrete and Continuous Dynamical Systems - S",
issn = "1937-1632",
publisher = "American Institute of Mathematical Sciences",
number = "0",

}

RIS

TY - JOUR

T1 - Finiteness properties for self-similar continua

AU - Tetenov, Andrei

AU - Yudin, Ivan

AU - Kadirova, Makhliyo

N1 - Tetenov A. Finiteness properties for self-similar continua / A. Tetenov, I. Yudin, M. Kadirova // Discrete and Continuous Dynamical Systems - S. - 2025. doi: 10.3934/dcdss.2025057

PY - 2025

Y1 - 2025

N2 - 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.

AB - 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.

KW - Self-similar set

KW - Dendrite

KW - polygasket

KW - Open set condition

KW - finite intersection property

KW - Intersection graph

KW - slope parameter

UR - https://www.mendeley.com/catalogue/69a37bf1-907e-36ea-bb0c-ee29edb43c45/

U2 - 10.3934/dcdss.2025057

DO - 10.3934/dcdss.2025057

M3 - Article

VL - 0

SP - 0

EP - 0

JO - Discrete and Continuous Dynamical Systems - S

JF - Discrete and Continuous Dynamical Systems - S

SN - 1937-1632

IS - 0

ER -

ID: 71562777