Samuel Braunfeld
Published 2017-10-14Version 1
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.
The classification of homogeneous finite-dimensional permutation structures
Ramsey expansions of $Λ$-ultrametric spaces
Infinite Limits of Finite-Dimensional Permutation Structures, and their Automorphism Groups: Between Model Theory and Combinatorics
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