Closure of rigid semianalytic sets
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 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.