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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- Apr 25th 2011, 06:30 PMiamthemanyestopology on three point set?
Let X = {a,b,c}

Construct a topology on X so that there is a compact set that is not closed. - Apr 25th 2011, 06:37 PMDrexel28
- Apr 25th 2011, 06:59 PMiamthemanyes
Would this be an example:

{Zero set, X, {a}, {b,c}, {c}, {a,c}}

Then {c} is compact, but NOT closed? - Apr 25th 2011, 07:09 PMDrexel28