On two recurrence problems
Tom 206 / 2009
Fundamenta Mathematicae 206 (2009), 113-138
MSC: Primary 37B20, 54H20.
DOI: 10.4064/fm206-0-7
Streszczenie
We review some aspects of recurrence in topological dynamics and focus on two open problems. The first is an old one concerning the relation between Poincaré and Birkhoff recurrence; the second, due to the first author, is about moving recurrence. We provide a partial answer to a topological version of the moving recurrence problem.