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Transverse intersection theorem
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Mathematics
Area of mathematics
Geometry and topology
Differential geometry
Smooth manifold
Embedded submanifold
Created
2026-09-24
Updated
2026-09-24
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If
embedded submanifolds
A
,
B
⊆
M
meet transversely, then
A
∩
B
is an
embedded submanifold
of
dimension
dim
A
+
dim
B
−
dim
M
.
Ancestors
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Embedded submanifold
Smooth manifold
Differential geometry
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 115
/
4
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 118
/
2
/
Solution
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