A note on Hutchinson operator in $\mathbf{T_1}$ compact topological spaces
General Topology
2023-03-14 v1
Abstract
In compact topological spaces the Hutchinson operator of a contractive IFS (iterated function system; a finite family of closed mappings from the space into itself) may not be closed. Nevertheless, the Hutchinson operator of a contractive IFS has always a unique fixed point.
Cite
@article{arxiv.2303.06767,
title = {A note on Hutchinson operator in $\mathbf{T_1}$ compact topological spaces},
author = {Michał Morayne and Robert Rałowski},
journal= {arXiv preprint arXiv:2303.06767},
year = {2023}
}