Even unique intersection point can break OSC: an example

Андрей Викторович Тетенов; Кирилл Глебович Камалутдинов

doi:10.13140/RG.2.2.32247.88480

Even unique intersection point can break OSC: an example

Андрей Викторович Тетенов, Кирилл Глебович Камалутдинов

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

This was a long-standing question since 90-ies whether one-point intersection property for a self-similar set implies open set condition. We answer this question negatively. We give an example of a totally disconnected self-similar set K⊂R which does not have open set condition and has minimal overlap of its pieces, that is, all intersections of its pieces Ki ∩ Kj , i 6= j are empty except only one, which is a single point

Язык оригинала	английский
Число страниц	8
Журнал	Nonlinearity
DOI	https://doi.org/10.13140/RG.2.2.32247.88480
Состояние	Опубликовано - 9 апр 2019

Доступ к документу

10.13140/RG.2.2.32247.88480

https://arxiv.org/pdf/1809.08595.pdf

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Тетенов, А. В., & Камалутдинов, К. Г. (2019). Even unique intersection point can break OSC: an example. Nonlinearity. https://doi.org/10.13140/RG.2.2.32247.88480

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