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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
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2.05 Compactness
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General topology - Wikipedia
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topological groups - Compact open topology - MathOverflow
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What is an intuitive explanation of dense and compact sets? - Quora