(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let S be a subset of C. Prove that S is precompact if and only

if S(closure) is compact.

2. Relevant equations

I have already showed if S(closure) compact, then S is precompact

how can I show if S is precompact, then S(closure) is compact?

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Compactness iff precompact

**Physics Forums | Science Articles, Homework Help, Discussion**