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Proceedings of the American Mathematical Society

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Weak separation properties
for self-similar sets

Author: Martin P. W. Zerner
Journal: Proc. Amer. Math. Soc. 124 (1996), 3529-3539
MSC (1991): Primary 54E40, 54H15; Secondary 28A78
MathSciNet review: 1343732
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Abstract: We develop a theory for self-similar sets in $\mathbb R^s$ that fulfil the weak separation property of Lau and Ngai, which is weaker than the open set condition of Hutchinson.

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Additional Information

Martin P. W. Zerner
Affiliation: Departement Mathematik, ETH Zentrum, CH-8092 Zurich, Switzerland

Keywords: Self-similar sets, fractals, weak separation property
Received by editor(s): April 11, 1995
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 1996 American Mathematical Society

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