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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 condition a8 compactness,
SOLVED: 2) Let X and Y be compact topological spaces show that XxY is compact (Hint: You only nced show that any open cover consisting entirely of basis clements for the topology
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Compact Manifold -- from Wolfram MathWorld
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Proof That an Open Subspace of a Locally Compact Space is Locally Compact
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