Algebraic Topology · Problem 4.1.8

Homotopy Theory — Allen Hatcher

Mathematics — Topology · long-exact-sequence-homotopy-groups

Problem

Show the sequence π1(X,x0)→π1(X,A,x0)→∂π0(A,x0)→π0(X,x0)\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) is exact.

Related theory

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