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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Weak separation properties for self-similar sets

Author(s): 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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A. Schief, Separation properties for self-similar sets, Proc. Amer. Math. Soc. 122 (1994), no.1, 111--115. MR 94k:28012
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Additional Information:

Martin P. W. Zerner
Affiliation: Departement Mathematik, ETH Zentrum, CH-8092 Zurich, Switzerland
Email: zerner@math.ethz.ch

DOI: 10.1090/S0002-9939-96-03527-7
PII: S 0002-9939(96)03527-7
Keywords: Self-similar sets, fractals, weak separation property
Received by editor(s): April 11, 1995
Communicated by: Christopher D. Sogge
Copyright of article: Copyright 1996, American Mathematical Society




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