Uncountably many planar embeddings of unimodal inverse limit spaces

Ana Anusic, Henk Bruin, Jernej Cinc

Published 2016-03-12Version 1

For 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 $X$.