Finite Betweenness Relational Structures Are Not Fraïssé

Authors

  • Stanislav Balchev Department of Mathematics University of Toronto Bahen Centre, Room 6290 40 St. George St., Toronto, ON, M5S 2E4
  • Paul Szeptycki Department of Mathematics and Statistics York University 4700 Keele St Toronto, ON M3J 1P3

DOI:

https://doi.org/10.5644/SJM.19.01.08

Keywords:

[κ], Fraisse class, Ramsey class, betweenness relation

Abstract

We consider the class of finite sets with ternary relations satisfying certain axioms of betweenness. We show this class and a related larger class are not Fraïssé, correcting a claim in [2]. We also consider restricted Ramsey properties of these classes.

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Published

17.01.2024

How to Cite

Balchev, S. ., & Szeptycki, P. . (2024). Finite Betweenness Relational Structures Are Not Fraïssé. Sarajevo Journal of Mathematics, 19(1), 99–103. https://doi.org/10.5644/SJM.19.01.08

Issue

Vol. 19 No. 1 (2023)

Section

Articles