Algebraic Topology · Problem 2.3.3

Homology — Allen Hatcher

Mathematics — Topology · axioms-for-homology

Problem

Show that if h~\tilde{h} is a reduced homology theory, then h~n(point)=0\tilde{h}_n(point) = 0 for all nn. Deduce that there are suspension isomorphisms h~n(X)≈h~n+1(SX)\tilde{h}_n(X) \approx \tilde{h}_{n+1}(SX) for all nn.

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