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June 2014 Some Examples of Minimal Cantor Sets for Iterated Function Systems with Overlap
Katsutoshi SHINOHARA
Tokyo J. Math. 37(1): 225-236 (June 2014). DOI: 10.3836/tjm/1406552441

Abstract

We give some examples of iterated function systems (IFSs) with overlap on the interval such that the semigroup action they give rise to has a minimal set homeomorphic to the Cantor set.

Citation

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Katsutoshi SHINOHARA. "Some Examples of Minimal Cantor Sets for Iterated Function Systems with Overlap." Tokyo J. Math. 37 (1) 225 - 236, June 2014. https://doi.org/10.3836/tjm/1406552441

Information

Published: June 2014
First available in Project Euclid: 28 July 2014

zbMATH: 1351.37166
MathSciNet: MR3264524
Digital Object Identifier: 10.3836/tjm/1406552441

Subjects:
Primary: ‎37B05‎
Secondary: 28A80 , 37E05

Rights: Copyright © 2014 Publication Committee for the Tokyo Journal of Mathematics

Vol.37 • No. 1 • June 2014
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