 Solution

ID: past-exam-of-the-options-i-course-of-the-university-of-oxford/2010/e/e2/a/iii/solution

Let

p : X \to X / R

U \subseteq X / R is open exactly when p^{- 1} (U) is open in X .

It is the finest topology on the quotient making

p

continuous.

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