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Hatcher-Algebraic-Topology
· Problem 4.1.8
Homotopy Theory
Mathematics — Graph Theory · long-exact-sequence-homotopy
Problem
Show the sequence
π
1
(
X
,
x
0
)
→
π
1
(
X
,
A
,
x
0
)
→
∂
π
0
(
A
,
x
0
)
→
π
0
(
X
,
x
0
)
\pi_1(X, x_0) \to \pi_1(X, A, x_0) \xrightarrow{\partial} \pi_0(A, x_0) \to \pi_0(X, x_0)
π
1
(
X
,
x
0
)
→
π
1
(
X
,
A
,
x
0
)
∂
π
0
(
A
,
x
0
)
→
π
0
(
X
,
x
0
)
is exact.
Related theory
Long Exact Sequence Of A Fibration
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