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What is the meaning of, " a metric space is compact" ?

I know the formal definition but i don't really understand it's true meaning, what is the concept behind compactness ?

I seems like a lot of terminology to me (cover,open cover,subcover,finite intersection property,...) but doesn't seem to be making much sense to me.

I hope someone could help me out with this.

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@AsafKaragila No,but thanks, i will take a look right now ! –  johny Nov 10 '13 at 16:23

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