|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
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