Closure Theorem for Partially Semialgebraic Sets

• Autorzy: María-Angeles Zurro
• Języki publikacji: EN

Abstrakty

EN

In 1988 it was proved by the first author that the closure of a partially semialgebraic set is partially semialgebraic. The essential tool used in that proof was the regular separation property. Here we give another proof without using this tool, based on the semianalytic L-cone theorem (Theorem 2), a semianalytic analog of the Cartan-Remmert-Stein lemma with parameters.

Kategorie tematyczne

• 32B20: Semi-analytic sets and subanalytic sets
• 32C25: Analytic subsets and submanifolds
• 14P15: Real analytic and semianalytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 4
• Strony: 325-331

Daty

wydano

2007

Twórcy

autor

María-Angeles Zurro

• Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Identyfikatory

DOI

10.4064/ba55-4-4