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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages 461–464
(Mi semr261)
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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
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
Citation:
A. V. Tetenov, “Semigroups satisfying P-condition and topological self-similar sets”, Sib. Èlektron. Mat. Izv., 7 (2010), 461–464
Linking options:
https://www.mathnet.ru/eng/semr261 https://www.mathnet.ru/eng/semr/v7/p461
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