Finiteness properties for self-similar continua Full article
| Journal |
Discrete and Continuous Dynamical Systems - Series S
ISSN: 1937-1632 , E-ISSN: 1937-1179 |
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| Output data | Year: 2025, Article number : 2025057, Pages count : 13 DOI: 10.3934/dcdss.2025057 | ||||
| Tags | Self-similar set, dendrite, polygasket, open set condition, finite inter- section property, intersection graph, slope parameter. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0005 |
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.
Cite:
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
Finiteness properties for self-similar continua
Discrete and Continuous Dynamical Systems - Series S. 2025. 2025057 :1-13. DOI: 10.3934/dcdss.2025057 WOS OpenAlex
Dates:
| Submitted: | Mar 2, 2025 |
| Accepted: | Apr 21, 2025 |
| Published online: | Apr 25, 2025 |
Identifiers:
| Web of science: | WOS:001477053300001 |
| OpenAlex: | W3185744083 |
Citing:
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