On one-point intersection property for self-similar fractals

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

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

Язык оригиналаанглийский
Страницы (с-по)408-416
Число страниц9
ЖурналNonlinearity
Том33
Номер выпуска1
DOI
СостояниеОпубликовано - 1 янв 2020

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