Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{NowSza14}
\by M.~Nowak, T.~Szarek
\paper The shark teeth is a~topological IFS-attractor
\jour Sibirsk. Mat. Zh.
\yr 2014
\vol 55
\issue 2
\pages 364--369
\mathnet{http://mi.mathnet.ru/smj2539}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3237340}
\transl
\jour Siberian Math. J.
\yr 2014
\vol 55
\issue 2
\pages 296--300
\crossref{https://doi.org/10.1134/S0037446614020128}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000335167300012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899696185}
Linking options:
  • https://www.mathnet.ru/eng/smj2539
  • https://www.mathnet.ru/eng/smj/v55/i2/p364
    • 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
    Statistics & downloads:
    Abstract page:478
    Full-text PDF :61
    References:43
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024