Finiteness of semialgebraic types of polynomial functions
Finiteness of semialgebraic types of polynomial functions
复制标题
多项式函数的半代数类型的有限性
DOI：
10.1007/bf02571547
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发表时间：
1991
影响因子：
0.8
通讯作者：
M. Shiota
中科院分区：
文献类型：
--
作者：
R. Benedetti;M. Shiota
三角剖分定理已被证明的一般性（半解析，亚解析，惠特尼分层等）的顺序增加的集合。在半代数几何中，我们得到了更强的结果：半代数集的三角剖分可以用一种有效的方法得到。相对于集合的三角剖分，映射的三角剖分往往是一个更困难的问题（见[S]）。本文的结果是基于半代数映射的一个有效的三角剖分定理（定理7）。
Triangulation theorems have been proved for sets of increasing order of generality (semianalytic, subanalytic, Whitney stratified, etc.). In semialgebraic geometry, we have the much stronger result that triangulations of semialgebraic sets can be obtained in an effective way. In contrast to the triangulation of sets, the triangulation of mappings is often a more difficult problem (see [S]). The results of the present work are based on an effective triangulation theorem for semialgebraic mappings (Theorem 7).