![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/project-universal/previews/3aae4c36-d307-44bb-bebf-1ea1f087891f.gif)
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 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
![SOLVED: A countably compact space is a topological space that has a finite open cover in which every countable subcover is possible. Prove that a countably compact second countable space is compact. SOLVED: A countably compact space is a topological space that has a finite open cover in which every countable subcover is possible. Prove that a countably compact second countable space is compact.](https://cdn.numerade.com/ask_images/788e9d1740da445dbb599b5a675f59d2.jpg)