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

6 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

Bibliographical note

Publisher Copyright:
© 2015, Hebrew University of Jerusalem.

Access to Document

10.1007/s11856-015-1206-4

Cite this

@article{cd39cb61e4b3444bb90a5dd7a907c8ab,

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",

note = "Publisher Copyright: {\textcopyright} 2015, Hebrew University of Jerusalem.",

year = "2015",

month = sep,

day = "1",

doi = "10.1007/s11856-015-1206-4",

language = "אנגלית",

volume = "208",

pages = "443--450",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Derived subdivisions make every PL sphere polytopal

AU - Adiprasito, Karim A.

AU - Izmestiev, Ivan

PY - 2015/9/1

Y1 - 2015/9/1

N2 - 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).

AB - 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).

UR - https://www.scopus.com/pages/publications/84945376697

U2 - 10.1007/s11856-015-1206-4

DO - 10.1007/s11856-015-1206-4

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84945376697

SN - 0021-2172

VL - 208

SP - 443

EP - 450

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

Derived subdivisions make every PL sphere polytopal

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this