A criterion for recognizing algebraically constructible functions

Authors
Bonnard, I
Citation
I. Bonnard, A criterion for recognizing algebraically constructible functions, J REIN MATH, 526, 2000, pp. 61-88
Citations number
18
Categorie Soggetti
Mathematics
Journal title
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
ISSN journal
00754102 → ACNP
Volume
526
Year of publication
2000
Pages
61 - 88
Database
ISI
SICI code
0075-4102(20000929)526:<61:ACFRAC>2.0.ZU;2-V
Abstract
Algebraically constructible functions on a real algebraic set are sums of s igns of polynomials on this set. The representation theorem gives an effect ive criterion to characterize these functions. On the other hand results on spaces of orderings can be used to bound the minimal number of polynomials needed to describe a given algebraically constructible function.