Skip navigation
Skip navigation

Topological Contractive Systems

Barnsley, Michael; Igudesman, Konstantin


We are concerned with one of the fundamental problems of fractal geometry: When is a topological contractive system a metric contractive system? We show that there exists a metric such that a topological contractive system is nonexpansive and give a sufficient condition for the contractive property of this system.

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Lobachevskii Journal of Mathematics
DOI: 10.1134/S1995080211030048


File Description SizeFormat Image
01_Barnsley_Topological_Contractive_2011.pdf423.07 kBAdobe PDF    Request a copy

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator