Lipschitz homeomorphisms of the Hilbert cube |
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Authors: | Jussi Väisälä |
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Institution: | Department of Mathematics, University of Helsinki, Hallituskatu 15, 00100 Helsinki 10, Finland |
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Abstract: | We study the question whether the Hilbert cube Q is Lipschitz homogeneous. The answer depends on the metric of Q. For example, setting d(x,y)=supj|xj-yj|/j we obtain a Lipschitz homogeneous metric, but if the last j is replaced by j!, the answer is negative. |
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Keywords: | 54 E 40 57 A 20 Hilbert cube homogeneous lipeomorphism Lipschitz map quasiconformal |
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