Uncountably many planar embeddings of unimodal inverse limit spaces

2016/03/12 by Anusic, Ana, Bruin, Henk, Cinc, Jernej
#37B45 #37E05 #54H20 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1603.03887

Abstract

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.

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