If X is an infinite set ,then X is connected in finite complement topology[t={U subset of X such that X-U is either finite of is all of X} ].
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Originally Posted by math.dj If X is an infinite set ,then X is connected in finite complement topology[t={U subset of X such that X-U is either finite of is all of X} ]. Can you think why? If I have an open proper subset U, then X\U is finite and thus not open.
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