Abstract

We show that a continuous map f from a quasi-graph X to itself is pointwise recurrent if and only if one of the following two statements holds: (1) X is a simple closed curve and f is topologically conjugate to an irrational rotation on the unit circle S1; (2) f is a periodic homeomorphism.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.