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HallsofIvy

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What is the topology?

(By the way- closed and bounded does**not** necessarily imply compact.)

(By the way- closed and bounded does

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mathwonk

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and of course closed and bounded does imply compact in a euclidean space such as matrix space. as hurkyl knows very well - he is just trying to scare you.

(in a general metric space you need "complete and totally bounded")

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