Algebraically constructible functions

Details Algebraically constructible functions Algebraically constructible functions

1996-06-06

arxiv.org/abs/alg-geom/9606004v1

Mathematics

Algebraic Geometry

AMS-TeX v2.1, 25 pages

Scientific paper

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 modulo 4, 8, and 16 of Coste and Kurdyka, are defined using the link operator on the ring of constructible functions.

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