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A note on the simplex-cosimplex problem

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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Bibliographic Details
Published in:European journal of combinatorics 2017-12, Vol.66, p.5-12
Main Author: Adiprasito, Karim
Format: Article
Language:English
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Summary: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.
ISSN:0195-6698
1095-9971
DOI:10.1016/j.ejc.2017.06.009