Finite Betweenness Relational Structures Are Not Fraïssé

Stanislav  Balchev; Paul  Szeptycki

doi:10.5644/SJM.19.01.08

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