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On Marshall’s p-invariant for semianalytic set germs

Andradas Heranz, Carlos and Díaz-Cano Ocaña, Antonio (2004) On Marshall’s p-invariant for semianalytic set germs. In Contribuciones matemáticas : homenaje al profesor Enrique Outerelo Domínguez. Complutense, Madrid, pp. 21-32. ISBN 8474917670

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The invariant p(V ) has been introduced by M. Marshall as a measure of the complexity of semialgebraic sets of a real algebraic variety V . This invariant is defined as the least integer such that every semialgebraic set S ⊂ V has a
separating family with p(V ) polynomials.
In this paper we provide estimates for the invariant p in the case of analytic set germs. One of the tools we use is a realization theorem which is interesting by itself.

Item Type:Book Section
Uncontrolled Keywords:Separating familie; Semianalytic germs; Semialgebraic sets.
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:17191

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Deposited On:23 Nov 2012 12:00
Last Modified:07 Feb 2014 09:43

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