Homotopy excision theorem

In algebraic topology, the homotopy excision theorem offers a substitute for the absence of excision in homotopy theory. More precisely, let $(X;A,B)$ be an excisive triad with $C=A\cap B$ nonempty and suppose a pair $(A,C)$ is ($m-1$)-connected, $m\geq 2$, and a pair $(B,C)$ is ($n-1$)-connected, $n\geq 1$. Then, for the inclusion $i:(A,C)\to (X,B)$,

$i_{*}:\pi _{q}(A,C)\to \pi _{q}(X,B)$

is bijective for $q<m+n-2$ and is surjective for $q=m+n-2$.