RT Book, Section T1 On Marshall’s p-invariant for semianalytic set germs A1 Andradas Heranz, Carlos A1 Díaz-Cano Ocaña, Antonio AB 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. PB Complutense SN 8474917670 YR 2004 FD 2004 LK https://hdl.handle.net/20.500.14352/53174 UL https://hdl.handle.net/20.500.14352/53174 LA eng NO RAAG NO GAAR DS Docta Complutense RD 5 abr 2025