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arXiv · 1305.4492

The shark teeth is a topological IFS-attractor

Magdalena Nowak·Tomasz Szarek
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Abstract

We show that the space called shark teeth is a topological IFS-attractor, that is for every open cover of $X=\bigcup_{i=1}^nf_i(X)$, its image under every suitable large composition from the family of continuous functions $\{f_1,...,f_n\}$ lies in some set from the cover. In particular, there exists a space which is not homeomorphic to any IFS-attractor but is a topological IFS-attractor.

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Magdalena Nowak, Tomasz Szarek. 2013-05-20. The shark teeth is a topological IFS-attractor. https://arxiv.org/abs/1305.4492

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