Given any open cover of the set I need to find a finite subcover, how can I do it?
How to prove that $\{1/n\}\cup \{0\}$ is compact by open covers?
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$\begingroup$
analysis
compactness
1 Answers
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Some member of the open cover covers $0$. How many points in the set does that one open set fail to cover?
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0It may be finite or infinite depending on the given cover. – 2017-01-07
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1@DIEGORAMOS: Can it be infinite? – 2017-01-07
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1No. You're Right I get it – 2017-01-07