Special Session 5: Scientific Computation and Numerical Algorithms

Characterizing fixed point free mappings on polyhedron-like spaces in terms of open covers

Judy Kennedy
Lamar University
USA
Co-Author(s):    Iztok Banic, Uros Milutinovic, Piotr Minc
Abstract:
There have been several characterizations of spaces with the fixed point property in terms of inverse limits. Instead, we give two characterizations of fixed point free mappings from a P-like continuum to itself in terms of open covers of the space. This may lead to a different approach to the fixed point problem in the plane which remains unsolved after 150 years.