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@rhymeswspecimen Okay, sure. Suppose the entire place is covered by a collection of blankets. You want to keep warm, but don't want to be crushed under an infinite number of blankets. Luckily you're compact, so you can find a finite number of blankets that cover you.Permalink On twitter.com
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@rhymeswspecimen Really though it's not about compactness as it is about boundedness. In a metric space we can say a set is bounded if it has finite diameter. Without a measurement of distance, we can define bounded as having a finite subcover for any cover of the whole space.On twitter.com