 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/ii/paper-1/21f/a/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

X

and

Y

are homotopy equivalent if there are continuous maps

f : X \to Y, g : Y \to X

such that

g \circ f ≃ id_{X}, f \circ g ≃ id_{Y} .

f

and

g

are called homotopy inverses.

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