Some notes on induced functions and group actions on hyperspaces
General Topology
2021-04-28 v1
Abstract
We discuss the problem of when a continuous map between topological spaces induces a continuous function between their respective hyperspaces. We characterize the continuity of the induced function in the case of the Fell and Attouch-Wets hyperspaces. Additionally we explore the problem of whether a continuous action of a topological group on a topological space induces a continuous action on .
Cite
@article{arxiv.2104.12904,
title = {Some notes on induced functions and group actions on hyperspaces},
author = {Victor Donjuán and Natalia Jonard-Pérez and Ananda López-Poo},
journal= {arXiv preprint arXiv:2104.12904},
year = {2021}
}