Closure of rigid semianalytic sets

Details Closure of rigid semianalytic sets Closure of rigid semianalytic sets

1997-06-21

arxiv.org/abs/math/9706227v1

Mathematics

Differential Geometry

Scientific paper

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 \Sigma
a semianalytic subset of X. Then the closure of \Sigma in X with respect to
the canonical topology is again semianalytic. The proof uses Embedded
Resolution of Singularities.

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