Re: compact space

On Sun, 13 Jan 2008, stochastician wrote:

Is it possible to define a topology on N (the set of natual numbers)
s.t. to make it a _compact_ space? Thanks! Obviously the trivial
topology does not work.

Is it possible to give N a compact Hausdorff topology?

Exercise.
Give an example of a countable, compact Hausdorff space.
.

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