Basic Analysis I — Real Analysis · Problem 7.4.13

Metric Spaces — Jiri Lebl

Mathematics — Real Analysis · completeness-and-compactness

Problem

Take N⊂R\mathbb{N} \subset \mathbb{R} using the standard metric. Find an open cover of N\mathbb{N} such that the conclusion of the Lebesgue covering lemma does not hold.

Browse the problem library