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Transfer chain map of a double covering
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Mathematics
Area of mathematics
Geometry and topology
Algebraic topology
Covering space
Deck transformation
2026-09-24
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For
a
double covering
p
:
X
→
Y
, the mod-two transfer sends
a
singular
simplex
of
Y
to the
sum
of its two lifts. Together with the
chain map
p
#
, it gives
a
short exact sequence
0
⟶
C
∗
(
Y
;
F
2
)
tr
C
∗
(
X
;
F
2
)
p
#
C
∗
(
Y
;
F
2
)
⟶
0.
(1)
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(7)
Deck transformation
Covering space
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 114
/
2
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 114
/
2
/
b
/
Solution
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