Derived subdivisions make every PL sphere polytopal
Combinatorics
2014-03-21 v3 Metric Geometry
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).
Keywords
Cite
@article{arxiv.1311.2965,
title = {Derived subdivisions make every PL sphere polytopal},
author = {Karim A. Adiprasito and Ivan Izmestiev},
journal= {arXiv preprint arXiv:1311.2965},
year = {2014}
}
Comments
7 pages; small changes, added a remark concerning the case of S^3; to appear in Israel J. of Math