Topologies on the group of homeomorphisms of a Cantor set

Sergey Bezuglyi; Anthony H. Dooley; Jan Kwiatiowski

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Topologies on the group of homeomorphisms of a Cantor set

Journal article

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Topologies on the group of homeomorphisms of a Cantor set

Sergey Bezuglyi, Anthony H. Dooley and Jan Kwiatiowski

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, Vol.27(2), pp.299-331

06/01/2006

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Abstract

Let Homeo(Omega) be the group of all homeomorphisms of a Cantor set Omega. We study topological properties of Homeo(Omega) and its subsets with respect to the uniform (tau) and weak (tau(w)) topologies. The classes of odometers and periodic, aperiodic, minimal, rank 1 homeomorphisms are considered and the closures of those classes in tau and tau(w) are found.

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Details

Title: Subtitle: Topologies on the group of homeomorphisms of a Cantor set
Creators: Sergey Bezuglyi
Anthony H. Dooley
Jan Kwiatiowski
Resource Type: Journal article
Publication Details: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, Vol.27(2), pp.299-331
ISSN: 1230-3429
Publisher: Juliusz Schauder Ctr Nonlinear Studies
Number of pages: 33
Language: English
Date published: 06/01/2006
Academic Unit: Mathematics
Record Identifier: 9984936604802771

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