The shark teeth is a topological IFS-attractor
Dynamical Systems
2013-05-21 v1
Abstract
We show that the space called shark teeth is a topological IFS-attractor, that is for every open cover of , its image under every suitable large composition from the family of continuous functions 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.
Cite
@article{arxiv.1305.4492,
title = {The shark teeth is a topological IFS-attractor},
author = {Magdalena Nowak and Tomasz Szarek},
journal= {arXiv preprint arXiv:1305.4492},
year = {2013}
}