On Marshall’s p-invariant for semianalytic set germs
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...
| Authors: | , |
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| Format: | book part |
| Publication Date: | 2004 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/53174 |
| Online Access: | https://hdl.handle.net/20.500.14352/53174 |
| Access Level: | Open access |
| Keyword: | 512.7 Separating familie Semianalytic germs Semialgebraic sets. Geometria algebraica 1201.01 Geometría Algebraica |
| Summary: | 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. |
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