Basic Analysis I — Real Analysis · Problem 7.4.16

Metric Spaces — Jiri Lebl

Mathematics — Real Analysis · completeness-and-compactness

Problem

Prove Proposition 7.4.6. That is, let (X,d)(X, d) be a complete metric space and E⊂XE \subset X a closed set. Show that EE with the subspace metric is a complete metric space.

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