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Topological complexity of the relative closure of a semi-Pfaffian couple

Thierry Zell
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Abstract

Gabrielov introduced the notion of relative closure of a Pfaffian couple as an alternative construction of the o-minimal structure generated by Khovanskii's Pfaffian functions. In this paper, use the notion of format (or complexity) of a Pfaffian couple to derive explicit upper-bounds for the homology of its relative closure. Keywords: Pfaffian functions, fewnomials, o-minimal structures, Betti numbers.

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Thierry Zell. 2006-10-03. Topological complexity of the relative closure of a semi-Pfaffian couple. https://doi.org/10.1007/s00454-008-9070-1

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