 Solution

ID: past-exam-of-the-topology-course-of-the-university-of-oxford/2021/1/b/iii/solution

[0, 1)

is a basic open set contained in

[0, 1]

. The remaining point

1

is not an interior point, by the preceding argument. Thus

int_{T} [0, 1] = [0, 1) .

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