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DIMACS
2001

On the Number of Connected Components of the Relative Closure of a Semi-Pfaffian Family

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On the Number of Connected Components of the Relative Closure of a Semi-Pfaffian Family
The notion of relative closure (X, Y )0 of a semi-Pfaffian couple (X, Y ) was introduced by Gabrielov to give a description of the o-minimal structure generated by Pfaffian functions. In this paper, an effective bound is given for the number of connected components of (X, Y )0 in terms of the Pfaffian complexity of X and Y.
Andrei Gabrielov, Thierry Zell
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2001
Where DIMACS
Authors Andrei Gabrielov, Thierry Zell
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