A remark on approximation of open sets with regular bounded ones

Details A remark on approximation of open sets with regular bounded ones A remark on approximation of open sets with regular bounded ones

2010-12-08

arxiv.org/abs/1012.1805v1

Mathematics

General Topology

2 pages

Scientific paper

We show that any open set in $\R^n$ 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.

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