Contractive function systems, their attractors and metrization

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.

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Bibliographic Details
Published in:arXiv.org 2014-05
Main Authors: Banakh, Taras, Kubis, Wieslaw, Novosad, Natalia, Nowak, Magdalena, Strobin, Filip
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:2331-8422