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Algebraically constructible functions: real algebra and topology

Clint McCrory·Adam Parusinski
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Abstract

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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Clint McCrory, Adam Parusinski. 2002-02-09. Algebraically constructible functions: real algebra and topology. https://arxiv.org/abs/math/0202086

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