![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: 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](https://cdn.numerade.com/ask_images/3fafe6fbbb1e4591926d4cbf52863a50.jpg)
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
![general topology - A question about a proof that a compact subset is closed - Mathematics Stack Exchange general topology - A question about a proof that a compact subset is closed - Mathematics Stack Exchange](https://i.stack.imgur.com/wrSUn.png)
general topology - A question about a proof that a compact subset is closed - Mathematics Stack Exchange
![general topology - Visual representation of difference between closed, bounded and compact sets - Mathematics Stack Exchange general topology - Visual representation of difference between closed, bounded and compact sets - Mathematics Stack Exchange](https://i.stack.imgur.com/WTgFn.png)