Recurrence on infinite cyclic coverings
Add to your list(s)
Download to your calendar using vCal
 Albert Fathi, ENS Lyon
 Wednesday 08 July 2015, 16:1517:15
 MR4.
If you have a question about this talk, please contact Ivan Smith.
If h is a homeomorphism of the compact space Z which is homotopic to the identity, and \tilde{Z}>Z is an infinite cyclic covering, then we can lift h to a homeomorphism \tilde{h} of \tilde{Z}.
We will compare the recurrence properties of h and \tilde{h}. Our main result is is if the chain recurrent set of \tilde{h} is empty, then h has a nontrivial compact attractor. The generalizes work of Franks on the annulus, and should be compared with the work of Atkinson in the measurable category. It can be considered as a weak generalization of the PoincareBirkhoff theorem.
This talk is part of the Differential Geometry and Topology Seminar series.
This talk is included in these lists:
Note that exdirectory lists are not shown.
