Attractors of iterated function systems-Reference-Cited by-同舟云学术

Attractors of iterated function systems

Published:1992 Issue:1 Volume:116 Page:279-284
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Duvall P. F.,Husch L. S.

Abstract

In this paper, the question of which compact metric spaces can be attractors of hyperbolic iterated function systems on Euclidean space is studied. It is shown that given any finite-dimensional compact metric X X , there is a Cantor set C C such that the disjoint union of C C and X X is an attractor. In the process, it is proved that every such X X is the Lipschitz image of a Cantor set.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-116-01/S0002-9939-1992-1132850-6/S0002-9939-1992-1132850-6.pdf

Reference6 articles.

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