Expansive and fixed point free homeomorphisms of the plane

Pages: 1709 - 1721, Volume 32, Issue 5, May 2012

doi:10.3934/dcds.2012.32.1709       Abstract        References        Full Text (172.8K)       Related Articles

Jorge Groisman - Instituto de Matemática y Estadística "Prof. Ing. Rafael Laguardia”, Facultad de Ingeniería, Julio Herrera y Reissig 565 11300, MONTEVIDEO, Uruguay (email)

Abstract: The aim of this work is to describe the set of fixed point free homeomorphisms of the plane (preserving orientation or not) under certain expansive conditions. We find necessary and sufficient conditions for a fixed point free homeomorphism of the plane to be topologically conjugate to a translation.

Keywords:  Dynamical systems, expansive homeomorphisms.
Mathematics Subject Classification:  Primary: 37E30, 37D20; Secondary: 37B25.

Received: November 2010;      Revised: September 2011;      Published: January 2012.

 References