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

 

On the dimension of a homeomorphism group


Authors: Beverly L. Brechner and Kazuhiro Kawamura
Journal: Proc. Amer. Math. Soc. 129 (2001), 617-620
MSC (1991): Primary 54F45, 54G20; Secondary 54H15, 54H20
Published electronically: September 20, 2000
MathSciNet review: 1707158
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Abstract:

We prove that the homeomorphism group of each one of a collection of continua constructed in a paper by the first author (Trans. Amer. Math. Soc. 121 (1966), 516-548) is one dimensional. This answers a question posed in that paper.


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Additional Information

Beverly L. Brechner
Affiliation: Department of Mathematics, University of Florida at Gainesville, Gainesville, Florida 32611-8105
Email: brechner@math.ufl.edu

Kazuhiro Kawamura
Affiliation: Institute of Mathematics, University of Tsukuba, Tsukuba-shi, Ibaraki 305 Japan
Email: kawamura@math.tsukuba.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05585-4
PII: S 0002-9939(00)05585-4
Keywords: Homeomorphism group, dimension, Menger continua
Received by editor(s): June 6, 1998
Received by editor(s) in revised form: May 8, 1999
Published electronically: September 20, 2000
Communicated by: Alan Dow
Article copyright: © Copyright 2000 American Mathematical Society