Abstract
A homeomorphism f : ( X , d ) → ( X , d ) f:(X,d) \to (X,d) of a metric space ( X , d ) (X,d) onto X X is recurrent provided that for each ε > 0 \varepsilon > 0 there exists a positive integer n n such that f n {f^n} is ε \varepsilon -close to the identity map on X X . The notion of a recurrent homeomorphism is weaker than that of an almost periodic homeomorphism. The result announced in the title generalizes the theorem of Brechner for almost periodic homeomorphisms and answers a question of R. D. Edwards.
Sign-in/Register to access full text options 
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 callSimilar Papers
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.
