Compact
From The Art and Popular Culture Encyclopedia
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- Closely packed, i.e. packing much in a small space.
- Having all necessary features fitting neatly into a small space.
- (of a set) Closed and bounded.
- A set S of real numbers is called compact if every sequence in S has a subsequence that converges to an element again contained in S.
- Such that every exhaustion of it by (overlapping) open balls has the property that some finitely many of those balls will also cover it.
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