Question: Let X be a set and To = {U CX|X - U is infinite or empty or X.} Is T a topology on X?

Let X be a set and To = {U CX|X - U

Let X be a set and To = {U CX|X - U is infinite or empty or X.} Is T a topology on X? (Compare with the cofinite topology.)

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The collection T U X X U is infinite or empty or X is not a topology on X It does not satisfy the axioms required for a collection to be a topology To ... View full answer

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