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Hatcher-Algebraic-Topology
· Problem 2.2.18
Homology
Mathematics — Graph Theory · relative-cellular-homology
Problem
For a CW pair
(
X
,
A
)
(X, A)
(
X
,
A
)
show there is a relative cellular chain complex formed by the groups
H
i
(
X
i
,
X
i
−
1
∪
A
i
)
H_i(X^i, X^{i-1} \cup A^i)
H
i
(
X
i
,
X
i
−
1
∪
A
i
)
, having homology groups isomorphic to
H
n
(
X
,
A
)
H_n(X, A)
H
n
(
X
,
A
)
.
Related theory
Relative Homology And Excision
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