Derived subdivisions make every PL sphere polytopal

Karim A. Adiprasito*, Ivan Izmestiev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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

Bibliographical note

Publisher Copyright:
© 2015, Hebrew University of Jerusalem.


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