Derived subdivisions make every PL sphere polytopal
arXiv:1311.2965
Abstract
We give a simple proof that some iterated derived subdivision of every PL sphere is combinatorially equivalent to the boundary of a simplicial polytope, thereby resolving a problem of Billera (personal communication).
arXiv comment7 pages; small changes, added a remark concerning the case of S^3; to appear in Israel J. of Math