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In: Advanced Math

a) Prove that if X is Hausdorff, then X is T1 b) Give an example of...

a) Prove that if X is Hausdorff, then X is T1

b) Give an example of a space that is T1 , but not Hausdorff. Prove that the space you give is T1 and prove it is not Hausdorff.

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