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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages 461–464 (Mi semr261)  

This article is cited in 3 scientific papers (total in 3 papers)

Short communications

Semigroups satisfying P-condition and topological self-similar sets

A. V. Tetenov

Gorno-Altaisk State University, Gorno-Altaisk, Russia
Full-text PDF (702 kB) Citations (3)
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Abstract: We give a definition of self-similar sets, which works in Hausdorff topological spaces and prove topological version of Hutchinson theorem without the assumption of completeness of the space.
Keywords: self-similar sets, fractal, self-similar structure, Hausdorff topological space.
Received December 7, 2010, published December 8, 2010
Document Type: Article
UDC: 514.8, 515.12
MSC: 28A80
Language: English
Citation: A. V. Tetenov, “Semigroups satisfying P-condition and topological self-similar sets”, Sib. Èlektron. Mat. Izv., 7 (2010), 461–464
Citation in format AMSBIB
\Bibitem{Tet10}
\by A.~V.~Tetenov
\paper Semigroups satisfying P-condition and topological self-similar sets
\jour Sib. \`Elektron. Mat. Izv.
\yr 2010
\vol 7
\pages 461--464
\mathnet{http://mi.mathnet.ru/semr261}
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  • https://www.mathnet.ru/eng/semr/v7/p461
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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