Submission date: 14 October 2017

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.

Mathematics Subject Classification: 03C13, 03C50

Keywords and phrases:

Full text arXiv 1710.05138: pdf, ps.