Topologically weakly mixing homeomorphisms of the Klein bottle that are uniformly rigid |
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| Authors: | Kelly B Yancey |
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| Institution: | Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green St., Urbana, IL 61801, USA |
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| Abstract: | In this paper we prove that there is a large family of topologically weakly mixing homeomorphisms of the Klein bottle that are uniformly rigid. We do this by viewing the Klein bottle as the quotient of the two-torus by an appropriate group action and producing topologically weakly mixing homeomorphisms of the two-torus that are uniformly rigid and equivariant with respect to the action. |
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| Keywords: | Topological weak mixing Uniform rigidity Klein bottle |
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