Algebraic Topology · Problem 2.2.32

Homology — Allen Hatcher

Mathematics — Topology · mayer-vietoris-sequence

Problem

For SXSX the suspension of XX, show by a Mayer--Vietoris sequence that there are isomorphisms H~n(SX)≈H~n−1(X)\widetilde{H}_n(SX) \approx \widetilde{H}_{n-1}(X) for all nn.

Related theory

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