English

On the Escaping Set in Topological Dynamics

Dynamical Systems 2019-04-30 v1 General Topology

Abstract

We wish to investigate some elementary problems concerning topological dynamics revolving around our proposed definition of escaping set. We also discuss the notion of escaping set in the induced dynamics of the hyperspace. Moreover, we extend the notion of limit set and escaping set for the general semigroup generated by continuous self maps.

Keywords

Cite

@article{arxiv.1904.12333,
  title  = {On the Escaping Set in Topological Dynamics},
  author = {Kushal Lalwani},
  journal= {arXiv preprint arXiv:1904.12333},
  year   = {2019}
}
R2 v1 2026-06-23T08:51:35.290Z