Homotopy Axiom

One of the Eilenberg-Steenrod Axioms which states that, if $f:(X,A) \to (Y,B)$ is homotopic to $g:(X,A) \to (Y,B)$, then their Induced Maps $f_*:H_n(X,A)\to H_n(Y,B)$ and $g_*:H_n(X,A)\to H_n(Y,B)$ are the same.