Let X = {a,b,c} Construct a topology on X so that there is a compact set that is not closed.
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Originally Posted by iamthemanyes Let X = {a,b,c} Construct a topology on X so that there is a compact set that is not closed. Just make any topology where there is a non-closed set and that non-closed set will be compact since the set if sfinite.
Would this be an example: {Zero set, X, {a}, {b,c}, {c}, {a,c}} Then {c} is compact, but NOT closed?
Originally Posted by iamthemanyes Would this be an example: {Zero set, X, {a}, {b,c}, {c}, {a,c}} Then {c} is compact, but NOT closed? Right.
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