Tree-like continua do not admit expansive homeomorphisms
Author:
Christopher Mouron
Journal:
Proc. Amer. Math. Soc. 130 (2002), 3409-3413
MSC (2000):
Primary 54H20, 54F50; Secondary 54E40
DOI:
https://doi.org/10.1090/S0002-9939-02-06447-X
Published electronically:
May 14, 2002
MathSciNet review:
1913021
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: A homeomorphism is called expansive provided that for some fixed
and every
there exists an integer
, dependent only on
and
, such that
. It is shown that if
is a tree-like continuum, then
cannot be expansive.
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Additional Information
Christopher Mouron
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716
Email:
mouron@math.udel.edu
DOI:
https://doi.org/10.1090/S0002-9939-02-06447-X
Keywords:
Expansive homeomorphism,
tree-like continua
Received by editor(s):
August 16, 2000
Received by editor(s) in revised form:
June 21, 2001
Published electronically:
May 14, 2002
Additional Notes:
The author is pleased to acknowledge the many useful comments and suggestions made by Charles Hagopian
Communicated by:
Alan Dow
Article copyright:
© Copyright 2002
American Mathematical Society