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Wang sequence
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Geometry and topology
Algebraic topology
Mapping torus
2026-09-28
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For the
mapping torus
of
f
:
F
→
F
, the Wang
exact sequence
contains
⋯
→
H
q
(
F
)
1
−
f
∗
H
q
(
F
)
→
H
q
(
T
f
)
→
H
q
−
1
(
F
)
1
−
f
∗
H
q
−
1
(
F
)
→
⋯
.
(1)
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(6)
Mapping torus
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 114
/
1
/
iii
/
Solution
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