Closure of rigid semianalytic sets
Differential Geometry
2016-09-07 v1
Abstract
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.
Cite
@article{arxiv.math/9706227,
title = {Closure of rigid semianalytic sets},
author = {Hans Schoutens},
journal= {arXiv preprint arXiv:math/9706227},
year = {2016}
}