0000000000847034
AUTHOR
Boris Kolev
Surface homeomorphisms with zero dimensional singular set
We prove that if f is an orientation-preserving homeomorphism of a closed orientable surface M whose singular set is totally disconnected, then f is topologically conjugate to a conformal transformation.
Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan
Let f be an orientation-preserving homeomorphism of the plane such that f-Id is contracting. Under these hypotheses, we establish the existence, for every periodic orbit, of a fixed point which has nonzero linking number with this periodic orbit.