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math.DS2012★ 1 cited
Three Brouwer fixed point theorems for homeomorphisms of the plane
Lucien Guillou
We prove three theorems giving fixed points for orientation preserving homeomorphisms of the plane following forgotten results of Brouwer.
math.DS2009
On the struture of homeomorphims of the open annulus
Lucien Guillou
Let be a without fixed point lift to the plane of a homeomorphism of the open annulus isotopic to the identity and without wandering point. We show that admits a -invari…
math.DS2006
Free lines for homeomorphisms of the open annulus
Lucien Guillou
Let H be a homeomorphism of the open annulus isotopic to the identity which admits a lift h to the plane without fixed point. We show that h admits a Brouwer line which is a lift o…