|
Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 364–369
(Mi smj2539)
|
|
|
|
This article is cited in 12 scientific papers (total in 12 papers)
The shark teeth is a topological IFS-attractor
M. Nowakab, T. Szarekc a Jagiellonian University, Kraków, Poland
b Jan Kochanowski University, Kielce, Poland
c Institute of Mathematics, University of Gdańsk, Gdańsk, Poland
Abstract:
We show that the space called the shark teeth is a topological IFS-attractor, that is, for every open cover of $X=\bigcup^n_{i=1}f_i(X)$ , its image under every suitable large composition from the family of continuous functions $\{f_1,\dots,f_n\}$ lies in some set from the cover. In particular, there exists a space that is not homeomorphic to any IFS-attractor but is a topological IFS-attractor.
Keywords:
fractal, iterated function system, IFS-attractor.
Received: 24.05.2013
Citation:
M. Nowak, T. Szarek, “The shark teeth is a topological IFS-attractor”, Sibirsk. Mat. Zh., 55:2 (2014), 364–369; Siberian Math. J., 55:2 (2014), 296–300
Linking options:
https://www.mathnet.ru/eng/smj2539 https://www.mathnet.ru/eng/smj/v55/i2/p364
|
Statistics & downloads: |
Abstract page: | 478 | Full-text PDF : | 61 | References: | 43 | First page: | 3 |
|