Bounded m-ary Patch-Width Are Equivalent For m > 2
  We consider the notion of bounded m-ary patch-width and its very close relative m-constructible. We show that the notions of m-constructibility all coincide for m>2, while 1-constructibility is a weaker notion. The same holds for bounded patch-width. The cace m=2 is left open. 
Saharon Shelah and Mor Doron