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Periodic surface homeomorphism
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Mathematics
Area of mathematics
Geometry and topology
Knot theory
Fibered knot
Nielsen–Thurston classification
Created
2026-10-05
Updated
2026-10-14
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A
periodic surface homeomorphism
has a
positive
power
equal to the identity.
A
mapping class
is periodic when it has such
a
representative. Allowing
motion
of boundary
circles
is
a
different convention from requiring every
isotopy
to fix the boundary
pointwise
.
Ancestors
(7)
Nielsen–Thurston classification
Fibered 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
/
2018
/
iii
/
Paper 141
/
4
/
c
/
Solution
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