均匀半径和规则分层
Uniform radius and regular stratifications
摘要:
本文研究了实函数的芽在形变下如何变化。特别地,我们研究了从R_n到R_k(n >= k)的孤立奇点的芽的变形,以及在一些温和的范畴(代数的、解析的、半代数的、次解析的、多项式有界的o-极小结构)中与自然分层的关系。本文中的“驯服”一词将指这些类别之一。
英文摘要:
In this paper we investigate how germs of real functions can change under deformation. In particular we look at deformations of germs of isolated singularities from R_n to R_k (n >= k) and the relation with there natural stratification in some tame categorie (algebraic, analytic, semi-algebraic, subanalytic, o-minimal straucture polynomially bounded). The word tame in this paper will refer to one of these categories.
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