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Compactness and Heine-Borel
Compactness and Heine-Borel
4 questions
Difficulty 3-5
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state theorem
The Heine-Borel theorem characterizes compact subsets of
R
n
. What is the statement?
Hide and think first
A.
A subset of
R
n
is compact if and only if it is bounded, regardless of whether it is open or closed
B.
A subset of
R
n
is compact if and only if every continuous function on it attains its supremum
C.
A subset of
R
n
is compact if and only if it is closed and bounded
D.
A subset of
R
n
is compact if and only if it is path-connected
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