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Derived subdivisions make every PL sphere polytopal

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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).

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Author information

Authors and Affiliations

  1. Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France

    Karim A. Adiprasito

  2. Institut für Mathematik, Freie Universität Berlin, Berlin, Germany

    Ivan Izmestiev

Authors
  1. Karim A. Adiprasito
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  2. Ivan Izmestiev
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Corresponding author

Correspondence to Karim A. Adiprasito.

Additional information

K. Adiprasito has been supported by an EPDI/IPDE postdoctoral fellowship and by the Romanian NASR, CNCS-UEFISCDI, project PN-II-ID-PCE-2011-3-0533.

I. Izmestiev has been supported by the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013)/ERC Grant agreement no. 247029-SDModels.

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Adiprasito, K.A., Izmestiev, I. Derived subdivisions make every PL sphere polytopal. Isr. J. Math. 208, 443–450 (2015). https://doi.org/10.1007/s11856-015-1206-4

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  • DOI: https://doi.org/10.1007/s11856-015-1206-4

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