This article is cited 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.

UDC: 514.8, 515.12

MSC: 28A80

Received December 7, 2010, published December 8, 2010

Language: English