Topologically Mixing Maps and the Pseudoarc

• Date: 2014
• Main Authors: Drwiega, T., Oprocha, P., Дрвіега, Т., Опроча, П.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2121
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

It is known that the pseudoarc can be constructed as the inverse limit of the copies of [0, 1] with one bonding map f which is topologically exact. On the other hand, the shift homeomorphism σ f is topologically mixing in this case. Thus, it is natural to ask whether f can be only mixing or must b...