Partially Expansive Homeomorphisms

2014/09/12 by Alfonso Artigue, Artigue, Alfonso
Mathematics · #Mathematical Dynamics and Fractals #Geometric and Algebraic Topology #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.1409.3887

Abstract

In this article we consider several forms of expansivity. We introduce two new definitions related with topological dimension. We study the topology of local stable sets under cw-expansive surface homeomorphisms and expansive homeomorphisms of three-manifolds. The problem of C^r-stable expansivity is also considered.

Related

• Generic surface homeomorphisms are almost continuum-wise expansive
• N-expansive homeomorphisms on surfaces
• There are no stable points for continuum-wise expansive homeomorphisms
• An expansive homeomorphism of a 3-manifold with a local stable set that\n is not locally connected
• Expansive Homeomorphisms on non-Hausdorff Spaces