 Solution

ID: past-exam-of-the-options-ii-course-of-the-university-of-oxford/2004/e/e3/i/solution

A space is Hausdorff if distinct points have disjoint open neighbourhoods. In symbols, for

x \neq = y

there are open

U ∋ x

and

V ∋ y

with

U \cap V = \emptyset

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