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arXiv 1601.05147math.CVmath.ACmath.AG
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函数的无穷小双Lipschitz等价性

Infinitesimal bi-Lipschitz Equivalence of Functions

Terence Gaffney

摘要:

我们引入了两个不同的概念的无穷小双Lipschitz等价的功能,一个有关的双Lipschitz平凡的功能的家庭,一个有关同胚的双Lipschitz纤维的功能在家庭。我们表明,第一个不是一个通用的条件,第二个是。

英文摘要:

We introduce two different notions of infinitesimal bi-Lipschitz equivalence for functions, one related to bi-Lipschitz triviality of families of functions, one related to homeomorphisms which are bi-Lipschitz on the fibers of the functions in the family. We show that the first is not a generic condition, and that the second is.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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