A note on the simplex-cosimplex problem

Karim Adiprasito

doi:10.1016/j.ejc.2017.06.009

A note on the simplex-cosimplex problem

Karim Adiprasito

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We construct, for every dimension d≥3, polytopal spheres S for which neither S nor its dual S^∗ contain 2-faces that are triangles. This answers the topological formulation of a problem of Kalai, Kleinschmidt and Meisinger.

Original language	English
Pages (from-to)	5-12
Number of pages	8
Journal	European Journal of Combinatorics
Volume	66
DOIs	https://doi.org/10.1016/j.ejc.2017.06.009
State	Published - Dec 2017

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1016/j.ejc.2017.06.009

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title = "A note on the simplex-cosimplex problem",

abstract = "We construct, for every dimension d≥3, polytopal spheres S for which neither S nor its dual S∗ contain 2-faces that are triangles. This answers the topological formulation of a problem of Kalai, Kleinschmidt and Meisinger.",

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year = "2017",

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doi = "10.1016/j.ejc.2017.06.009",

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AB - We construct, for every dimension d≥3, polytopal spheres S for which neither S nor its dual S∗ contain 2-faces that are triangles. This answers the topological formulation of a problem of Kalai, Kleinschmidt and Meisinger.

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DO - 10.1016/j.ejc.2017.06.009

M3 - مقالة

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SP - 5

EP - 12

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

ER -

A note on the simplex-cosimplex problem

Abstract

All Science Journal Classification (ASJC) codes

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