Tame boundary sets of crumpled cubes in $E\sp{3}$

If a crumpled cube $K$ in ${E^3}$ is re-embedded by a homeomorphism $h$ such that $h(K)$ is tame from Ext $h(K)$ and $F$ is a tame closed subset of Bd $K$ which either has no degenerate components or consists entirely of degenerate components, then $h(F)$ is tame.