Model-theoretic and topological properties of families of theories. (English. Russian original) Zbl 1515.03155
Algebra Logic 60, No. 3, 232-235 (2021); translation from Algebra Logika 60, No. 3, 348-352 (2021).
MSC:
| 03C50 | Models with special properties (saturated, rigid, etc.) |
| 03C30 | Other model constructions |
| 54A05 | Topological spaces and generalizations (closure spaces, etc.) |
References:
| [1] | S. V. Sudoplatov, “Combinations of structures,” Izv. Irkutsk Gos. Univ., Mat., 24, 82-101 (2018). · Zbl 1409.03002 |
| [2] | S. V. Sudoplatov, “Closures and generating sets related to combinations of structures,” Izv. Irkutsk Gos. Univ., Mat., 16, 131-144 (2016). · Zbl 1402.03039 |
| [3] | S. V. Sudoplatov, “Families of language uniform theories and their generating sets,” Izv. Irkutsk Gos. Univ., Mat., 17, 62-76 (2016). · Zbl 1362.03031 |
| [4] | S. V. Sudoplatov, “Combinations related to classes of finite and countably categorical structures and their theories,” Sib. El. Mat. Izv., 14, 135-150 (2017); http://semr.math.nsc.ru/v14/p135-150.pdf. · Zbl 1423.03118 |
| [5] | Sudoplatov, SV, Relative e-spectra and relative closures for families of theories, Sib. El. Mat. Izv., 14, 296-307 (2017) · Zbl 1423.03127 |
| [6] | Sudoplatov, SV, On semilattices and lattices for families of theories, Sib. El. Mat. Izv., 14, 980-985 (2017) · Zbl 1423.03126 |
| [7] | Sudoplatov, SV, Approximations of theories, Sib. El. Mat. Izv., 17, 715-725 (2020) · Zbl 1437.03123 · doi:10.33048/semi.2020.17.049 |
| [8] | S. Sudoplatov, “Ranks for families of theories and their spectra” (2019), to appear in Lobachevskii J. Math.; https://arxiv.org/abs/1901.08464v1. |
| [9] | Ershov, YL, Topology for Discrete Mathematics [in Russian] (2020), Novosibirsk: SO RAN, Novosibirsk |
| [10] | N. D. Markhabatov, “Ranks for families of permutation theories,” Izv. Irkutsk Gos. Univ., Mat., 28, 85-94 (2019). · Zbl 1539.03118 |
| [11] | N. D. Markhabatov, “Pseudofiniteness of locally free algebras,” in Algebra and Model Theory, Vol. 12 [in Russian], A. G. Pinus et al. (Eds.), Novosibirsk State Tech. Univ., Novosibirsk (2019), pp. 41-46. |
| [12] | Markhabatov, ND; Sudoplatov, SV, Algebras for definable families of theories, Sib. El. Mat. Izv., 16, 600-608 (2019) · Zbl 1432.03060 · doi:10.33048/semi.2019.16.038 |
| [13] | Markhabatov, ND; Sudoplatov, SV, Definable families of theories, related calculi and ranks, Sib. El. Mat. Izv., 17, 700-714 (2020) · Zbl 1437.03126 · doi:10.33048/semi.2020.17.048 |
| [14] | Markhabatov, ND; Sudoplatov, SV, Topologies, ranks, and closures for families of theories. I, Algebra and Logic, 59, 6, 437-455 (2020) · Zbl 1515.03156 · doi:10.1007/s10469-021-09620-4 |
| [15] | Markhabatov, ND; Sudoplatov, SV, Topologies, ranks, and closures for families of theories. II, Algebra and Logic, 60, 1, 38-52 (2021) · Zbl 1515.03157 · doi:10.1007/s10469-021-09626-y |
| [16] | Markhabatov, ND; Sudoplatov, SV, Ranks for families of all theories of given languages, Euras. Math. J., 12, 2, 52-58 (2021) · Zbl 1488.03018 |
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