Difference between revisions of "Heine-Borel Theorem"
(New page: The '''Heine-Borel theorem''' is an important theorem in elementary Topology. ==Statement== Let <math>X</math> be a metric space Let <math>E\subset X</math> Then (1) <m...) |
m (→Statement) |
||
| Line 9: | Line 9: | ||
(1) <math>E</math> is closed and bounded if and only if | (1) <math>E</math> is closed and bounded if and only if | ||
| + | |||
(2) <math>E</math> is [[Compact set|compact]] | (2) <math>E</math> is [[Compact set|compact]] | ||
Revision as of 02:25, 15 February 2008
The Heine-Borel theorem is an important theorem in elementary Topology.
Statement
Let 
be a metric space
Let 
Then
(1) 
is closed and bounded if and only if
(2) is compact
This article is a stub. Help us out by expanding it.
