Topological Contractive Systems
Date
2011
Authors
Barnsley, Michael
Igudesman, Konstantin
Journal Title
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Volume Title
Publisher
Pleiades Publishing Ltd
Abstract
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.
Description
Keywords
Keywords: attractor; Contraction; iterated function systems; metric structures; pseudodistance
Citation
Collections
Source
Lobachevskii Journal of Mathematics
Type
Journal article
Book Title
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Access Statement
License Rights
DOI
10.1134/S1995080211030048
Restricted until
2037-12-31