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Hatcher-Algebraic-Topology
· Problem 22
Homotopy Theory
Mathematics — Graph Theory · homology-k-g-n-vanishing
Problem
Show that
H
n
+
1
(
K
(
G
,
n
)
;
Z
)
=
0
H_{n+1}(K(G,n);\mathbb{Z}) = 0
H
n
+
1
(
K
(
G
,
n
)
;
Z
)
=
0
if
n
>
1
n > 1
n
>
1
. [Build a
K
(
G
,
n
)
K(G,n)
K
(
G
,
n
)
from a Moore space
M
(
G
,
n
)
M(G,n)
M
(
G
,
n
)
by attaching cells of dimension
>
n
+
1
> n+1
>
n
+
1
.]
Related theory
Standard Reaction Gibbs Energy And G K Relation
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