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Zeeman theorem on twist-spun knots
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Mathematics
Area of mathematics
Geometry and topology
Knot theory
Twist-spun knot
Created
2026-09-24
Updated
2026-09-24
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Zeeman'
s
theorem
says that the complement of an
m
-twist spin fibers over the
circle
with fiber the punctured
m
-fold cyclic branched cover of the original
knot
. In particular, the
1
- and
−
1
-twist spins are unknotted.
Ancestors
(6)
Twist-spun knot
Knot theory
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 112
/
3
/
b
/
Solution
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