Derived subdivisions make every PL sphere polytopal

Karim A. Adiprasito, Ivan Izmestiev

Research output: Contribution to journalArticlepeer-review


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).

Original languageAmerican English
Pages (from-to)443-450
Number of pages8
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - 1 Sep 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


Dive into the research topics of 'Derived subdivisions make every PL sphere polytopal'. Together they form a unique fingerprint.

Cite this