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arxiv: 1405.6289 · v1 · pith:N7BH2G6Vnew · submitted 2014-05-24 · 🧮 math.GN · math.MG

Contractive function systems, their attractors and metrization

classification 🧮 math.GN math.MG
keywords settingspacesapproachesattractorsconnectionscontractiveendowedfamilies
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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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