Uncountably many planar embeddings of unimodal inverse limit spaces. (English) Zbl 1357.37017
Summary: For a point \(x\) in the inverse limit space \(X\) with a single unimodal bonding map we construct, with the use of symbolic dynamics, a planar embedding such that \(x\) is accessible. It follows that there are uncountably many non-equivalent planar embeddings of \(X\).
MSC:
| 37B10 | Symbolic dynamics |
| 37B45 | Continua theory in dynamics |
| 37E05 | Dynamical systems involving maps of the interval |
| 54C25 | Embedding |
| 54H20 | Topological dynamics (MSC2010) |
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