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math.GN2019
Some Properties of Recurrent Sets for Endomorphisms of Topological Groups
Seyyed Alireza Ahmadi, Javad Jamalzadeh, Xinxing Wu
This paper studies topological definitions of chain recurrence and shadowing for continuous endomorphisms of topological groups generalizing the relevant concepts for metric spaces…
math.DS2019
Uniform chain transitivity and uniform chain mixing properties in uniform hyperspaces
F. Pirfalak, X. Wu, S. A. Ahmadi +1
We introduce and study the topological concepts of chain transitivity, mixing and chain mixing property for dynamical systems induced by uniform hyperspaces. These notions generali…
math.DS2019
Mixing properties of maps with uniform shadowing property in uniform spaces
Seyyed Alireza Ahmadi, Xinxing Wu, Guanrong Chen
In this note we study some properties of topological entropy for noncompact non-metrizable spaces.