ALGEBRAICALLY CONSTRUCTIBLE FUNCTIONS

Authors
MCCRORY C PARUSINSKI A
Citation
C. Mccrory et A. Parusinski, ALGEBRAICALLY CONSTRUCTIBLE FUNCTIONS, Annales Scientifiques de l'Ecole Normale Superieure, 30(4), 1997, pp. 527-552
Citations number
22
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Annales Scientifiques de l'Ecole Normale Superieure → ACNP
ISSN journal
00129593
Volume
30
Issue
4
Year of publication
1997
Pages
527 - 552
Database
ISI
SICI code
0012-9593(1997)30:4<527:ACF>2.0.ZU;2-D
Abstract
An algebraic version of Kashiwara and Schapira's calculus of construct ible functions is used to describe local topological properties of rea l algebraic sets, including Akbulut and King's numerical conditions fo r a stratified set of dimension three to be algebraic. These propertie s, 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.