How do I prove that a Hausdorff topological space E is finite dimensional iff it admits a precompact neighborhood of zero?(adsbygoogle = window.adsbygoogle || []).push({});

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

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!

# Finite Dimensional Hausdorff Topological Space

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