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...
| Autores: | , |
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| Tipo de documento: | capítulo de livro |
| Data de publicação: | 2004 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/53174 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/53174 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 512.7 Separating familie Semianalytic germs Semialgebraic sets. Geometria algebraica 1201.01 Geometría Algebraica |
| Resumo: | 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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