Geometry of Cantor Systems

Author:
Yunping Jiang

Journal:
Trans. Amer. Math. Soc. **351** (1999), 1975-1987

MSC (1991):
Primary 57F25, 58F11

Published electronically:
January 27, 1999

MathSciNet review:
1475687

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Abstract: A Cantor system is defined. The geometry of a certain family of Cantor systems is studied. Such a family arises in dynamical systems as hyperbolicity is created. We prove that the bridge geometry of a Cantor system in such a family is uniformly bounded and that the gap geometry is regulated by the size of the leading gap.

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Additional Information

**Yunping Jiang**

Affiliation:
Department of Mathematics, Queens College, The City University of New York, Flushing, New York 11367-1597 and Department of Mathematics, Graduate School of The City University of New York, New York, New York 10036

Email:
yunqc@yunping.math.qc.edu

DOI:
http://dx.doi.org/10.1090/S0002-9947-99-02214-X

Received by editor(s):
February 12, 1996

Received by editor(s) in revised form:
December 2, 1996

Published electronically:
January 27, 1999

Additional Notes:
Partially supported by an NSF grant and PSC-CUNY awards

Article copyright:
© Copyright 1999
American Mathematical Society