English

On Properties of Expansive Group Actions

Dynamical Systems 2018-08-01 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1711.04448,
  title  = {On Properties of Expansive Group Actions},
  author = {Ali Barzanouni and Mahin Sadat Divandar and Ekta Shah},
  journal= {arXiv preprint arXiv:1711.04448},
  year   = {2018}
}