Geodesic
On indiscernibility of a set in circularly ordered structures
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 255-266.

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We prove a criterion for indiscernibility of the set of realisations of an 1-type of convexity rank 1 in $\aleph_0$-categorical non-1-transitive weakly circularly minimal structures.
Keywords: weak circular minimality, $\aleph_0$-categoricity, indiscernibility. 
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B. Sh. Kulpeshov. On indiscernibility of a set in circularly ordered structures. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 255-266. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a10/

[1] M. Bhattacharjee, H. D. Macpherson, R. G. Möller, P. M. Neumann, Notes on Infinite Permutation Groups, Lecture Notes in Mathematics, 1698, Springer, 1998 | MR | Zbl

[2] B. Sh. Kulpeshov, H. D. Macpherson, “Minimality conditions on circularly ordered structures”, Mathematical Logic Quarterly, 51 (2005), 377–399 | DOI | MR | Zbl

[3] H. D. Macpherson, Ch. Steinhorn, “On variants of $o$-minimality”, Annals of Pure and Applied Logic, 79 (1996), 165–209 | DOI | MR | Zbl

[4] D. Livingstone, A. Wagner, “Transitivity of finite permutation groups on unordered sets”, Mathematische Zeitschrift, 90 (1965), 393–403 | DOI | MR | Zbl

[5] P. J. Cameron, “Transitivity of permutation groups on unordered sets”, Mathematische Zeitschrift, 148 (1976), 127–139 | DOI | MR | Zbl

[6] M. Droste, M. Giraudet, H. D. Macpherson, N. Sauer, “Set-homogeneous graphs”, Journal of Combinatorial Theory, series B, 62 (1994), 63–95 | DOI | MR | Zbl

[7] P. J. Cameron, “Orbits of permutation groups on unordered sets, II”, Journal of the London Mathematical Society, 23 (1981), 249–264 | DOI | MR | Zbl

[8] P. J. Cameron, “Orbits of permutation groups on unordered sets. IV: Homogeneity and transitivity”, Journal of the London Mathematical Society, 27 (1983), 238–247 | DOI | MR | Zbl

[9] A. H. Lachlan, “Countable homogeneous tournaments”, Transactions of American Mathematical Society, 284 (1984), 431–461 | DOI | MR | Zbl

[10] B. S. Baizhanov, B. Sh. Kulpeshov, “On behaviour of 2-formulas in weakly $o$-minimal theories”, Mathematical Logic in Asia, Proceedings of the 9th Asian Logic Conference, World Scientific, Singapore, 2006, 31–40 | DOI | MR | Zbl

[11] A. B. Altayeva, B. Sh. Kulpeshov, “Equivalence-generating formulas in weakly circularly minimal structures”, Reports of the National Academy of sciences of the Republic of Kazakhstan, 2 (2014), 5–10

[12] B. Sh. Kulpeshov, “Binarity for $\aleph_0$-categorical weakly $o$-minimal theories of convexity rank 1”, Siberian Electronic Mathematical Reports, 3 (2006), 185–196 | MR | Zbl