Topological complexity of the relative closure of a semi-Pfaffian couple
Algebraic Geometry
2009-08-26 v3 Logic
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.
Keywords
Cite
@article{arxiv.math/0409002,
title = {Topological complexity of the relative closure of a semi-Pfaffian couple},
author = {Thierry Zell},
journal= {arXiv preprint arXiv:math/0409002},
year = {2009}
}
Comments
12 pages, 1 figure. v3: Proofs and bounds have been slightly improved