Complexity of distances: Reductions of distances between metric and Banach spaces

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作者
Marek Cúth
Michal Doucha
Ondřej Kurka
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[1] Charles University,Department of Mathematical Analysis, Faculty of Mathematics and Physics
[2] Institute of Mathematics of the Czech Academy of Sciences,undefined
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摘要
We show that all the standard distances from metric geometry and functional analysis, such as Gromov—Hausdorff distance, Banach—Mazur distance, Kadets distance, Lipschitz distance, Net distance, and Hausdorff—Lipschitz distance have all the same complexity and are reducible to each other in a precisely defined way.
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页码:383 / 439
页数:56
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