# Math Help - Connectedness

1. ## Connectedness

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} ].

2. 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.