general topology - Show $A$ is compact subset of a metric space $(X,\mathscr T, d)$ only if for all $x \in X$, $d(x,A)=d(x,a)$ for some $a \in A$. - Mathematics Stack Exchange
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Solved] . If X is a compact metric space and Mc X is closed, show that M... | Course Hero
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SOLVED: 9. Countable Compactness: A metric space in which every open cover has a countable subcover is sometimes called a countably compact space. Countable compactness is not as strong a condition as
![SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact](https://cdn.numerade.com/ask_images/a93ccef562ef4db9a507dffa74b4fc12.jpg "SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact")
SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact
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general topology - Show $A$ is compact subset of a metric space $(X,\mathscr T, d)$ only if for all $x \in X$, $d(x,A)=d(x,a)$ for some $a \in A$. - Mathematics Stack Exchange
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Solved] . Select all the statements that are true. The complement of a... | Course Hero
Notes on compact metric spaces
