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Hatcher-Algebraic-Topology
· Problem 3.1.9
Cohomology
Mathematics — Graph Theory · degree-map-cohomology
Problem
Show that if
f
:
S
n
→
S
n
f: S^n \to S^n
f
:
S
n
→
S
n
has degree
d
d
d
then
f
∗
:
H
n
(
S
n
;
G
)
→
H
n
(
S
n
;
G
)
f^*: H^n(S^n; G) \to H^n(S^n; G)
f
∗
:
H
n
(
S
n
;
G
)
→
H
n
(
S
n
;
G
)
is multiplication by
d
d
d
.
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