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8:49 AM
How to prove every closed interval in R is compact? (recently bumped). It is about subsets of the real line - should be added?
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Q: How to prove every closed interval in R is compact?

PaulLet $[a,b]\subseteq \mathbb R$. As we know, it is compact. This is a very important result. However, the proof for the result may be not familiar to us. Here I want to collect the ways to prove $[a,b]$ is compact. Thanks for your help and any link.

 
 
1 hour later…
1
A: Tag management 2022

glaProposal: Add the tag claim-verification Maybe not the best example, but my question here is about verifying a claim, not a solution or a proof. I don’t find any other fitting tags for such a question.

 

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