Contractive function systems, their attractors and metrization
General Topology
2016-02-19 v1 Metric Geometry
Abstract
In this paper we study the Hutchinson-Barnsley theory of fractals in the setting of multimetric spaces (which are sets endowed with point separating families of pseudometrics) and in the setting of topological spaces. We find natural connections between these two approaches.
Cite
@article{arxiv.1405.6289,
title = {Contractive function systems, their attractors and metrization},
author = {Taras Banakh and Wieslaw Kubis and Natalia Novosad and Magdalena Nowak and Filip Strobin},
journal= {arXiv preprint arXiv:1405.6289},
year = {2016}
}
Comments
20 pages