A simple permutoassociahedron
Article (Accepted Version)
Metadata
Show full item recordAbstract
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 realisationSource:
Discrete mathematics, 2019, 342, 12, 111591-Publisher:
- Elsevier B.V.
Funding / projects:
Institution/Community
Arhitektonski fakultetTY - JOUR AU - Baralić, Djordje AU - Ivanović, Jelena AU - Petrić, Zoran PY - 2019 UR - https://raf.arh.bg.ac.rs/handle/123456789/1163 AB - 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. PB - Elsevier B.V. T2 - Discrete mathematics T1 - A simple permutoassociahedron VL - 342 IS - 12 SP - 111591 DO - 10.1016/j.disc.2019.07.007 ER -
@article{ author = "Baralić, Djordje and Ivanović, Jelena and Petrić, Zoran", year = "2019", 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.", publisher = "Elsevier B.V.", journal = "Discrete mathematics", title = "A simple permutoassociahedron", volume = "342", number = "12", pages = "111591", doi = "10.1016/j.disc.2019.07.007" }
Baralić, D., Ivanović, J.,& Petrić, Z.. (2019). A simple permutoassociahedron. in Discrete mathematics Elsevier B.V.., 342(12), 111591. https://doi.org/10.1016/j.disc.2019.07.007
Baralić D, Ivanović J, Petrić Z. A simple permutoassociahedron. in Discrete mathematics. 2019;342(12):111591. doi:10.1016/j.disc.2019.07.007 .
Baralić, Djordje, Ivanović, Jelena, Petrić, Zoran, "A simple permutoassociahedron" in Discrete mathematics, 342, no. 12 (2019):111591, https://doi.org/10.1016/j.disc.2019.07.007 . .