Title
Spectral Decomposition for Topologically Anosov Homeomorphisms on Noncompact and Non-Metrizable Spaces
Document Type
Article
Publication Date
1-2013
Department
Mathematics
Language
English
Publication Title
Topology and its Applications
Abstract
We discuss topological definitions of expansivity, shadowing, and chain recurrence for homeomorphisms. They generalize the usual definitions for metric spaces. We prove various theorems about topologically Anosov homeomorphisms (maps that are expansive and have the shadowing property) on noncompact and non-metrizable spaces that generalize theorems for such homeomorphisms on compact metric spaces. The main result is a generalization of Smaleʼs spectral decomposition theorem to topologically Anosov homeomorphisms on first countable, locally compact, paracompact, Hausdorff spaces.
DOI
10.1016/j.topol.2012.10.010
Recommended Citation
Das, Tarun, Keonhee Lee, David Richeson, and Jim Wiseman. "Spectral Decomposition for Topologically Anosov Homeomorphisms on Noncompact and Non-Metrizable Spaces." Topology and its Applications 160, no. 1 (2013): 149-158. https://www.sciencedirect.com/science/article/pii/S0166864112004270
Comments
For more information on the published version, visit Science Direct's Website.