Algebraically constructible functions

被引：29
|
作者：
McCrory, C
Parusinski, A
机构：
[1] UNIV ANGERS,DEPT MATH,F-49045 ANGERS,FRANCE
[2] UNIV SYDNEY,SCH MATH & STAT,SYDNEY,NSW 2006,AUSTRALIA
来源：
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 1997年 / 30卷 / 04期
基金：
美国国家科学基金会; 澳大利亚研究理事会;
关键词：
real algebraic set; semialgebraic set; constructible function; Euler integral; link operator; duality operator; algebraically constructible function;
D O I：
10.1016/S0012-9593(97)89930-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An algebraic version of Kashiwara and Schapira's calculus of constructible functions is used to describe local topological properties of real algebraic sets, including Akbulut and King's numerical conditions for a stratified set of dimension three to be algebraic. These properties, which include generalizations of the invariants module 4, 8, and 16 of Coste and Kurdyka, are defined using the link operator on the ring of constructible functions.
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页码：527 / 552
页数：26
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