Heine-Borel theorem
A subset of is compact if and only if is closed (http://planetmath.org/TopologicalSpace) and bounded
.
| Title | Heine-Borel theorem |
|---|---|
| Canonical name | HeineBorelTheorem |
| Date of creation | 2013-03-22 12:05:09 |
| Last modified on | 2013-03-22 12:05:09 |
| Owner | Evandar (27) |
| Last modified by | Evandar (27) |
| Numerical id | 8 |
| Author | Evandar (27) |
| Entry type | Theorem |
| Classification | msc 54D30 |
| Related topic | Compact |
| Related topic | ProofOfLeastAndReatestValueOfFunction |