| Authors: | Baralić, Đorđe Ivanović, Jelena Petrić, Zoran |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | A simple permutoassociahedron | Journal: | Discrete Mathematics | Volume: | 342 | Issue: | 12 | Issue Date: | Dec-2019 | Rank: | M22 | ISSN: | 0012-365X | DOI: | 10.1016/j.disc.2019.07.007 | Abstract: | In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family. |
Keywords: | Associativity | Commutativity | Coherence | Simple polytopes | Geometric realisation | Publisher: | Elsevier | Project: | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education Representations of logical structures and formal languages and their application in computing |
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