Derived subdivisions make every PL sphere polytopal

@article{Adiprasito2013DerivedSM,
title={Derived subdivisions make every PL sphere polytopal},
author={Karim A. Adiprasito and Ivan Izmestiev},
journal={Israel Journal of Mathematics},
year={2013},
volume={208},
pages={443-450}
}
• Published 12 November 2013
• Mathematics
• Israel Journal of Mathematics
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).
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