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Two infinite versions
of the nonlinear Dvoretzky theorem
Kei Funano |
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Vol. 259 (2012), No. 1, 101–108
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Abstract |
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We make two additions to recent results of Mendel and Naor on nonlinear versions of Dvoretzky’s theorem. We consider the cases of metric spaces with infinite Hausdorff dimension and countably infinite metric spaces. |
Keywords
Dvoretzky’s theorem, ultrametric space
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Mathematical Subject Classification 2010
Primary: 53C23
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Milestones
Received: 6 November 2011
Revised: 16 April 2012
Accepted: 30 April 2012
Published: 31 August 2012
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Authors |
| Kei Funano | |
| Research Institute for Mathematical
Sciences Kyoto University Kyoto 606-8502 Japan |
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| https://sites.google.com/site/keifunanoshomepage/ | |
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