Stiefel–Whitney class (source code)

= Stiefel–Whitney class
{c}
{title2=$w_i(E)$}
{wiki}

The Stiefel–Whitney classes of a real rank-$d$ vector bundle are classes
$$
w_i(E)\in H^i(X;\mathbb F_2),
\qquad 0\leq i\leq d.
$$
Their total class is $w(E)=1+w_1(E)+\cdots+w_d(E)$.