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

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

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

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-015-1206-4

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title = "Derived subdivisions make every PL sphere polytopal",

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).",

author = "Adiprasito, {Karim A.} and Ivan Izmestiev",

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DO - 10.1007/s11856-015-1206-4

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SP - 443

EP - 450

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

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Derived subdivisions make every PL sphere polytopal

Abstract

All Science Journal Classification (ASJC) codes

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