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University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Recurrence on infinite cyclic coverings - CANCELLED

## Recurrence on infinite cyclic coverings - CANCELLEDAdd to your list(s) Download to your calendar using vCal - Albert Fathi, ENS Lyon
- Wednesday 06 May 2015, 16:00-17:00
- MR13.
If you have a question about this talk, please contact Jake Rasmussen. 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 non-trivial 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 Poincare-Birkhoff theorem. This talk is part of the Differential Geometry and Topology Seminar series. ## This talk is included in these lists:- All CMS events
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