Bier spheres of extremal volume and generalized permutohedra

نویسندگان

چکیده

We study hidden geometry of Bier spheres Bier(K) = K * ? K? by describing their natural geometric realizations, compute volume, describe an effective criterion for polytopality, and associate to a coarsening Fan(K) the Braid fan. also establish connection maximal volume with recent generalizations classical Van Kampen-Flores theorem clarify role in theory generalized permutohedra.

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ژورنال

عنوان ژورنال: Applicable Analysis and Discrete Mathematics

سال: 2022

ISSN: ['1452-8630', '2406-100X']

DOI: https://doi.org/10.2298/aadm211010026j