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On the dimension of a homeomorphism group
Authors:Beverly L. Brechner   Kazuhiro Kawamura
Affiliation:Department of Mathematics, University of Florida at Gainesville, Gainesville, Florida 32611-8105 ; Institute of Mathematics, University of Tsukuba, Tsukuba-shi, Ibaraki 305 Japan
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.

Keywords:Homeomorphism group   dimension   Menger continua
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