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Hatcher-Algebraic-Topology
· Problem 3E.3
Cohomology
Mathematics — Graph Theory · bockstein-homomorphisms
Problem
Let
X
X
X
be the smash product of
k
k
k
copies of a Moore space
M
(
Z
p
,
n
)
M(\mathbb{Z}_p, n)
M
(
Z
p
,
n
)
with
p
p
p
prime. Compute the Bockstein homomorphisms in
H
∗
(
X
;
Z
p
)
H^*(X; \mathbb{Z}_p)
H
∗
(
X
;
Z
p
)
and use this to describe
H
∗
(
X
;
Z
)
H^*(X; \mathbb{Z})
H
∗
(
X
;
Z
)
.
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