Let be a complex, and let , be two cones whose polytopes intersect only in .
The complex is called "SUSPENSION" of K.
Define: by the equation -
Show that $\phi$ induces a homomorphism:
By the way, the homology groups here are the reduced ones... Which has no importance for p>0.
What I've tried:
I thought I should define:
but what should I prove in order for it to be a homomorphism? it presereves the operation of chain-addition by definition of the cone operation...So what is left to do? can someone help me?
Thanks in advance