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SUMMARY:Recurrence on infinite cyclic coverings - CANCELLED - Albert Fathi
 \, ENS Lyon
DTSTART:20150506T150000Z
DTEND:20150506T160000Z
UID:TALK58669@talks.cam.ac.uk
CONTACT:Jake Rasmussen
DESCRIPTION:If h is a homeomorphism of the compact space Z which is homoto
 pic to the identity\, and \\tilde{Z}->Z is an infinite cyclic covering\, t
 hen we can lift h to a homeomorphism \\tilde{h} of \\tilde{Z}. \n\nWe 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-t
 rivial compact attractor. The generalizes work of Franks on the annulus\, 
 and should be compared with the work of Atkinson in the measurable categor
 y. It can be considered as a weak generalization of the Poincare-Birkhoff 
 theorem. 
LOCATION:MR13
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