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Feb28-12, 12:39 AM
Sci Advisor
P: 1,172
How to prove that a topological space is non-hausdorff?

You can check the above conditions and throw-in metrizability as a sufficient--tho not necessary --condition for Hausdorffness.

Still, I think the question is too broad* ; and you may find a better answer if you know how the space is presented/described to you.

*tho, don't get me wrong, I like broads.