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