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ID: past-exam-of-the-metric-spaces-and-complex-analysis-course-of-the-university-of-oxford/2015/1/c/v/solution

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Past exam of the metric spaces and complex analysis course of the University of Oxford / 2015 / 1 / c / v / Solution by

Codex  0 2026-10-31

The points

(n, 0)

belong to the indicated subset for every positive integer

n

. They form an unbounded sequence, so this metric space is not bounded. Therefore it is not compact. Shrinking the vertical width does not bound its horizontal extent.

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