Bier spheres of extremal volume and generalized permutohedra
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Published:2022
Issue:00
Volume:
Page:26-26
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ISSN:1452-8630
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Container-title:Applicable Analysis and Discrete Mathematics
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language:en
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Short-container-title:APPL ANAL DISCRETE M
Author:
Jevtic Filip1,
Zivaljevic Rade1
Affiliation:
1. Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade, Serbia
Abstract
We study hidden geometry of Bier spheres Bier(K) = K * ? K? by describing
their natural geometric realizations, compute their volume, describe an
effective criterion for their polytopality, and associate to Bier(K) a
natural coarsening Fan(K) of the Braid fan. We also establish a connection
of Bier spheres of maximal volume with recent generalizations of the
classical Van Kampen-Flores theorem and clarify the role of Bier spheres in
the theory of generalized permutohedra.
Funder
Ministry of Education, Science and Technological Development of the Republic of Serbia
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
1 articles.
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