Homogeneous 3-dimensional permutation structures
Logic
2020-02-26 v2 Combinatorics
Abstract
We provide a classification of the homogeneous 3-dimensional permutation structures, i.e. homogeneous structures in a language of 3 linear orders, partially answering a question of Cameron. We also arrive at a natural description of all known homogeneous finite-dimensional permutation structures by modifying the language used in the construction from a previous paper, completing the "census" begun there.
Cite
@article{arxiv.1710.05138,
title = {Homogeneous 3-dimensional permutation structures},
author = {Samuel Braunfeld},
journal= {arXiv preprint arXiv:1710.05138},
year = {2020}
}
Comments
30 pages, Journal version