On Properties of Expansive Group Actions

Ali Barzanouni, Mahin Sadat Divandar, Ekta Shah

Published 2017-11-13Version 1

We study several properties of expansive group actions on metric spaces and obtain relation between expansivity for subgroup and group actions. Through counter examples necessity of hypothesis are justified. We also study expansivity of covering maps. Further, we define orbit expansivity for group actions on topological spaces and use it to characterize expansive action.