BV trace on a hypersurface
= BV trace on a hypersurface
{c}
{title2=$u^+,u^-$}
= BV traces on a hypersurface
{c}
{synonym}
A <BV space> function has two one-sided approximate mean <BV traces on a hypersurface> at almost every point of an oriented countably rectifiable hypersurface, with respect to <Hausdorff measure>. They agree outside its <approximate discontinuity set>. At an <approximate jump point>, they are the jump values, up to the choice of orientation.