Define a candidate for a reduced homology theory on CW complexes by h~n(X)=∏iHi(X)/⨁iHi(X). Thus h~n(X) is independent of n and is zero if X is finite-dimensional, but is not identically zero, for example for X=⋁iSi. Show that the axioms for a homology theory are satisfied except that the wedge axiom fails.