Proper metric space
Summary
A proper metric space is a metric space in which each closed ball is compact. In such a space, a set is compact if and only if it is closed and bounded.
Where this leads
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Further reading
- Web https://en.wikipedia.org/wiki/Heine%E2%80%93Borel_theorem, In the theory of metric spaces
About this page
| Tag | 0RN765S7DH |
|---|---|
| URI | m2://0RN765S7DH |
| Aliases | heine-borel-metric-space |
| Kind | concept |
| Writing | W0 stub |
| MSC | 54E45 |
| Specializes | Metric space |
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