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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
Full-text PDF (309 kB) Citations (12)
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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
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 2, Pages 296–300
DOI: https://doi.org/10.1134/S0037446614020128
Bibliographic databases:
Document Type: Article
UDC: 517.518.1
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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