English

A remark on approximation of open sets with regular bounded ones

General Topology 2010-12-09 v1

Abstract

We show that any open set in Rn\R^n is a union of an ascending sequence of bounded open sets with analytic boundary. This is just a technical result, which is probably known. We believe, however, that it can be useful for studing BVPs on irregular open sets.

Keywords

Cite

@article{arxiv.1012.1805,
  title  = {A remark on approximation of open sets with regular bounded ones},
  author = {Dmitry Vorotnikov},
  journal= {arXiv preprint arXiv:1012.1805},
  year   = {2010}
}

Comments

2 pages

R2 v1 2026-06-21T16:55:30.478Z