It is one of the problems in Hatcher's book.
I need to find the homology group of $H_n (X,A)$ when $A$ is a finite set of points and $X$ is $S^2$ or $T^2$.
I figured out that for $n>1$, I could use the long exact sequence and make $H_n (X,A)$ isomorphic to $H_n (X)$.
However, I am stuck with $H_1 (X,A)$ and $H_0 (X,A)$.
Can anyone give me an idea how I can find these?