The compact tame tangle approximation conjecture

A compact framed transversal $m$-tangle is an embedded $m$-manifold in the closed cube $\bI^n$ satisfying compact framed transversality. A compact tame $m$-tangle is a compact framed transversal tangle that is tame.

Tame tangles approximate transversal tangles. Any compact framed transversal $m$-tangle can be approximated by compact tame $m$-tangles.

This is presented as the tangle analogue of the compact manifold-diagram approximation conjecture; the source does not state a resolution.