Expansive and fixed point free homeomorphisms of the plane
Jorge Groisman
TL;DR
This paper characterizes fixed point free homeomorphisms of the plane that satisfy specific expansive conditions, providing a detailed description of their structure and properties.
Contribution
It introduces a new framework for understanding expansive fixed point free homeomorphisms of the plane, expanding on previous classifications.
Findings
Characterization of expansive fixed point free homeomorphisms
Identification of structural properties under certain conditions
Extension of known results in plane topology
Abstract
The aim of this work is to describe the set of fixed point free homeomorphisms of the plane under certain expansive conditions.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems