Can anyone give an example of a non-Hausdorff space that contains a Hausdorff subspace?
closed as off-topic by TastyRomeo, projectilemotion, Namaste, JonMark Perry, Carsten S Mar 11 '17 at 11:57
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A point is Hausdorff, so any non-Hausdorff space gives examples.
It is enough to consider the line with two origins, and than consider one of this lines as a subspace.