Derived subdivisions make every PL sphere polytopal

Karim A. Adiprasito; Ivan Izmestiev

doi:10.1007/s11856-015-1206-4

Derived subdivisions make every PL sphere polytopal

Karim A. Adiprasito^*, Ivan Izmestiev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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).

Original language	English
Pages (from-to)	443-450
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	208
Issue number	1
DOIs	https://doi.org/10.1007/s11856-015-1206-4
State	Published - 1 Sep 2015
Externally published	Yes

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Publisher Copyright:
© 2015, Hebrew University of Jerusalem.

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Derived subdivisions make every PL sphere polytopal

Abstract

Bibliographical note

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