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Heine-Borel theorem (Theorem)

A subset $ A$ of $ \mathbb{R}^n$ is compact if and only if $ A$ is closed and bounded.



"Heine-Borel theorem" is owned by Evandar.
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See Also: compact, proof of least and greatest value of function


Attachments:
proof of Heine-Borel theorem (Proof) by stevecheng
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Cross-references: bounded, compact, subset
There are 8 references to this entry.

This is version 4 of Heine-Borel theorem, born on 2002-01-01, modified 2002-06-11.
Object id is 1165, canonical name is HeineBorelTheorem.
Accessed 9240 times total.

Classification:
AMS MSC: 54D30 (General topology :: Fairly general properties :: Compactness)
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