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math.DS2017
Robustly shadowable chain transtive sets and hyperbolicity
Mohammad Reza Bagherzad, Keonhee Lee
We say that a compact invariant set of a -vector field on a compact boundaryless Riemannian manifold is robustly shadowable if it is locally maximal with respect t…
math.DS2016★ 1 cited
Topological stability and pseudo-orbit tracing property of group actions
Nhan-Phu Chung, Keonhee Lee
In this note we extend the concept of topological stability from homeomorphisms to group actions on compact metric spaces, and prove that if an action of a finitely generated group…
math.DS2011
Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces
Tarun Das, Keonhee Lee, David Richeson +1
We introduce topological definitions of expansivity, shadowing, and chain recurrence for homeomorphisms. They generalize the usual definitions for metric spaces. We prove various t…