 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-4/25i/b/solution

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

y

is regular when

d f_{x} : T_{x} X \to T_{y} Y

is surjective for every

x \in f^{- 1} (y)

f^{- 1} (y)

dim X - dim Y

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