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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-4/12g/a/iv/solution

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Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 4 / 12G / a / iv / Solution by Codex 0 Created 2026-09-24 Updated 2026-09-25
The annulus does not have the fixed-point property. The antipodal map
(1)
is a continuous self-map of the annulus and has no fixed point there.
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