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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Iterated function systems of finite type and the weak separation property


Author: Nhu Nguyen
Journal: Proc. Amer. Math. Soc. 130 (2002), 483-487
MSC (1991): Primary 28A78; Secondary 28A80
Published electronically: May 25, 2001
MathSciNet review: 1862129
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Abstract: We prove that any iterated function system of finite type possesses the weak separation property.


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Additional Information

Nhu Nguyen
Affiliation: Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003-8001 and Institute of Mathematics, P.O. Box 631, Bo Ho, Hanoi, Vietnam
Email: nnguyen@nmsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06063-4
PII: S 0002-9939(01)06063-4
Keywords: Hausdorff dimension, open set condition, weak separation property, finite type condition, iterated function system
Received by editor(s): February 5, 2000
Received by editor(s) in revised form: July 1, 2000
Published electronically: May 25, 2001
Additional Notes: This author has previously published as Nguyen To Nhu.
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 2001 American Mathematical Society