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arXiv · 1710.05138

Homogeneous 3-dimensional permutation structures

Samuel Braunfeld
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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.

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Samuel Braunfeld. 2020-02-25. Homogeneous 3-dimensional permutation structures. https://doi.org/10.37236/7506

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