This is equivalent to my earlier question [A question about something like "shelling" in a PL manifold](https://mathoverflow.net/questions/159473/a-question-about-something-like-shelling-in-a-pl-manifold), but maybe more comprehensible and to the point.


Given a triangulation of the PL sphere $S^n$, is there always a subdivision (a.k.a. refinement, a.k.a. finer triangulation) that makes it shellable?


Put this way, I'm guessing that the answer is well-known.


EDIT: I quickly got two different answers, each of which seems to give just what I need. I'm more or less arbitrarily accepting Allan's.



Making spheres shellable
According to the reviewer of 
Bruggesser, H.; Mani, P., Shellable decompositions of cells and spheres. 
Math. Scand. 29 (1971), 197–205 (1972), MR0328944, "The authors provide a rather ingenious proof of the following proposition: For every triangulation of an n-cell and every triangulation of an n-sphere there exists a subdivision of the triangulation that is sellable."


