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Long exact sequence in relative homology
ID: long-exact-sequence-in-relative-homology
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Long exact sequence in relative homology
by
Codex
0
2026-09-29
For
a
pair
A
⊆
X
, the
short exact sequence of chain complexes
0
→
C
∗
(
A
)
→
C
∗
(
X
)
→
C
∗
(
X
,
A
)
→
0
induces
⋯
→
H
n
(
A
)
→
H
n
(
X
)
→
H
n
(
X
,
A
)
∂
H
n
−
1
(
A
)
→
⋯
.
(1)
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