%0 Book Section
%T On Marshall’s p-invariant for semianalytic set germs
publisher Complutense
%D 2004
%U 8474917670
%@ https://hdl.handle.net/20.500.14352/53174
%X 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 aseparating 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.
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