Suppose that is an infinite set with the co-finite topology, and . Find in the cases where (a) finite and (b) infinite. I really dont know where to start. Hints would be very useful. Thanks
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Hint: the closed set are the finite subsets of X and X.
Originally Posted by FGT12 Suppose that is an infinite set with the co-finite topology, and . Find in the cases where (a) finite and (b) infinite. Question: What is closure of a closed set? In part a), is an open set? Why or why not?
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