Hatcher-Algebraic-Topology · Problem 2.3.3

Homology

Mathematics — Graph Theory · homology-theory-axioms

Problem

Show that if h~\tilde{h} is a reduced homology theory, then h~n(point)=0\tilde{h}_n(\text{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.

Browse the problem library