1997/06/21 by Schoutens, Hans
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.math/9706227
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 Σa semianalytic subset of X. Then the closure of Σin X with respect to the canonical topology is again semianalytic. The proof uses Embedded Resolution of Singularities.