函数的无穷小双Lipschitz等价性
Infinitesimal bi-Lipschitz Equivalence of Functions
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.
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