Geodesic
Semigroups satisfying P-condition and topological self-similar sets
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 461-464

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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, self-similar structure, Hausdorff topological space.
Mots-clés : fractal 
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     author = {A. V. Tetenov},
     title = {Semigroups satisfying {P-condition} and topological self-similar sets},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {461--464},
     publisher = {mathdoc},
     volume = {7},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2010_7_a37/}
}
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A. V. Tetenov. Semigroups satisfying P-condition and topological self-similar sets. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 461-464. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a37/