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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 that fulfil the weak separation property of Lau and Ngai, which is weaker than the open set condition of Hutchinson.
References:
- [1]
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- M. Klemm, Symmetrien von Ornamenten und Kristallen, Berlin, Springer 1982. MR 84g:20089
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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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