Hatcher 0.25

Hatcher, Algebraic Topology, Chapter 0

25. If X is a CW complex with components X_\alpha, show that the suspension SX is homotopy equivalent to Y\vee_\alpha SX_\alpha for some graph Y. In the case that X is a finite graph, show that SX is homotopy equivalent to a wedge sum of circles and 2-spheres.

Proof.

   \square

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