Standard

Even unique intersection point can break OSC : an example. / Тетенов, Андрей Викторович; Камалутдинов, Кирилл Глебович.

In: Nonlinearity, 09.04.2019.

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

Harvard

Тетенов, АВ & Камалутдинов, КГ 2019, 'Even unique intersection point can break OSC: an example', Nonlinearity. https://doi.org/10.13140/RG.2.2.32247.88480

APA

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

Vancouver

Тетенов АВ, Камалутдинов КГ. Even unique intersection point can break OSC: an example. Nonlinearity. 2019 Apr 9. doi: 10.13140/RG.2.2.32247.88480

Author

Тетенов, Андрей Викторович ; Камалутдинов, Кирилл Глебович. / Even unique intersection point can break OSC : an example. In: Nonlinearity. 2019.

BibTeX

@article{3967a63a16064fe299cceaa264b3260e,
title = "Even unique intersection point can break OSC: an example",
abstract = "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",
author = "Тетенов, {Андрей Викторович} and Камалутдинов, {Кирилл Глебович}",
year = "2019",
month = apr,
day = "9",
doi = "10.13140/RG.2.2.32247.88480",
language = "English",
journal = "Nonlinearity",
issn = "0951-7715",
publisher = "IOP Publishing Ltd.",

}

RIS

TY - JOUR

T1 - Even unique intersection point can break OSC

T2 - an example

AU - Тетенов, Андрей Викторович

AU - Камалутдинов, Кирилл Глебович

PY - 2019/4/9

Y1 - 2019/4/9

N2 - 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

AB - 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

U2 - 10.13140/RG.2.2.32247.88480

DO - 10.13140/RG.2.2.32247.88480

M3 - Article

JO - Nonlinearity

JF - Nonlinearity

SN - 0951-7715

ER -

ID: 23267805