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Closure of Rigid Semianalytic Sets

✍ Scribed by Hans Schoutens

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 238 KB
Volume: 198
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7142

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✦ Synopsis

Let K be an algebraically closed field of characteristic zero, endowed with a complete nonarchimedean norm. Let X be a K-rigid analytic variety and ⌺ a semianalytic subset of X. Then the closure of ⌺ in X with respect to the canonical topology is again semianalytic. The proof uses embedded resolution of singularities.

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