Currently I am reading Morse Homology. And I faced a problem, which is easy to show in case of Singular Homology. But I can not do it for Morse Homology.
So the problem is, for any submanifold $V$ of a manifold $W$, the zeroth dimensional relative Morse homology $HM_0(V,W,\Bbb Z_2)=0$.
Any help will be appreciated.