Intersection chains
= Intersection chains
{title2=$IS_*^{\bar p}(X)$}
The group $IS_i^{\bar p}(X)$ consists of finite <singular chains> whose nonzero simplices are <allowable singular simplices> and whose boundary, after cancellation, also consists of allowable simplices. Since $\partial^2=0$, these groups form a <chain complex>. Its homology is <intersection homology>.