Homotopical selection principles in bitopological dynamical systems
Dynamical Systems
2023-01-02 v2 General Topology
Abstract
Homotopy deals with the intuitive idea of continuous deformation of a continuous map between two topological spaces. In this paper, we introduce homotopical selection principles in bitopological dynamical systems. Here, we define homotopy, iteration homotopy and path homotopy, and then using these notions we define various selection properties viz. H-Rothberger property, H-Menger property, PH-Rothberger property, PH-Menger property and their weaker versions. We also discuss several results connecting these concepts in bitopological dynamical systems.
Keywords
Cite
@article{arxiv.2212.12445,
title = {Homotopical selection principles in bitopological dynamical systems},
author = {Santanu Acharjee and Kabindra Goswami and Hemanta Kumar Sarmah},
journal= {arXiv preprint arXiv:2212.12445},
year = {2023}
}