2024, Vol. 9, Issue 5, Part B

In this paper, we studied the metric group space by addressing the concept of topological conjugation of actions and studying the transfer of the bi-shadowing property between two uniformly topologically conjugate actions under some secondary conditions. This study was done using the concept of bi-shadowing in its two types, parameterized and non-parameterized, as well as when the parameters are fixed and different.