R-fundamental class
= R-fundamental class
{c}
{title2=$[M]_R$}
An $R$-fundamental class of a closed $d$-manifold is a class in $H_d(M;R)$ whose image in every local homology group $H_d(M,M\setminus\{x\};R)$ is a generator. These local images form an $R$-orientation.