Algebraically constructible functions: real algebra and topology

Details Algebraically constructible functions: real algebra and topology Algebraically constructible functions: real algebra and topology

2002-02-09

arxiv.org/abs/math/0202086v1

Panoramas & Syntheses 23, Soc. Math. France 2007, 68-85

Mathematics

Algebraic Geometry

14 page survey article for RAAG'01, see http://www.maths.univ-rennes1.fr/~raag01/

Scientific paper

Algebraically constructible functions connect real algebra with the topology
of algebraic sets. In this survey we present some history, definitions,
properties, and algebraic characterizations of algebraically constructible
functions, and a description of local obstructions for a topological space to
be homeomorphic to a real algebraic set.

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