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On Marshall’s p-invariant for semianalytic set germs

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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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Abstract

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
Deposited On:23 Nov 2012 12:00
Last Modified:07 Aug 2018 11:39

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