Publications

2019
Kaplan I, Ramsey N, Shelah S. Local character of Kim-independence. Proc. Amer. Math. Soc. 2019;147:1719–1732. Available at: . Publisher's Version
Kaplan I, Simon P. Automorphism groups of finite topological rank. Trans. Amer. Math. Soc. 2019;372:2011–2043. Available at: . Publisher's Version
2017
Kaplan I, Shelah S. Decidability and classification of the theory of integers with primes. J. Symb. Log. 2017;82:1041–1050. Available at: . Publisher's Version
Kaplan I, Shelah S, Simon P. Exact saturation in simple and NIP theories. J. Math. Log. 2017;17:1750001, 18. Available at: . Publisher's Version
Kaplan I, Simon P. Some NIP-like phenomena in NTP₂. 2017.
Kaplan I, Levi E, Simon P. Some Remarks on dp-minimal Groups. In: Droste M, Fuchs L, Goldsmith B, Strüngmann L, eds. Groups, Modules, and Model Theory - Surveys and Recent Developments : In Memory of Rüdiger Göbel. Cham: Springer International Publishing; 2017:359–372. Available at: . Publisher's Version
2016
Kaplan I, Simon P. The affine and projective groups are maximal. Trans. Amer. Math. Soc. 2016;368:5229–5245. Available at: . Publisher's Version
Kaplan I, Shelah S. Forcing a countable structure to belong to the ground model. Mathematical Logic Quarterly. 2016;62:530–546. Available at: . Publisher's Version
Kaplan I, Lavi N, Shelah S. The generic pair conjecture for dependent finite diagrams. Israel J. Math. 2016;212:259–287. Available at: . Publisher's Version
Chernikov A, Kaplan I, Shelah S. On non-forking spectra. J. Eur. Math. Soc. (JEMS). 2016;18:2821–2848. Available at: . Publisher's Version
2015
Gavrilovich M, Hasson A, Kaplan I. The Univalence Axiom in posetal model categories. J. Logic Comput. 2015;25:669–682. Available at: . Publisher's Version
Chernikov A, Kaplan I, Simon P. Groups and fields with NTP$_2$. Proc. Amer. Math. Soc. 2015;143:395–406. Available at: . Publisher's Version
2014
Kaplan I, Miller BD, Simon P. The Borel cardinality of Lascar strong types. J. Lond. Math. Soc. (2). 2014;90:609–630. Available at: . Publisher's Version
Kaplan I, Shelah S. A dependent theory with few indiscernibles. Israel J. Math. 2014;202:59–103. Available at: . Publisher's Version
Kaplan I, Miller BD. An embedding theorem of $\Bbb E_0$ with model theoretic applications. J. Math. Log. 2014;14:1450010, 22. Available at: . Publisher's Version
Kaplan I, Shelah S. Examples in dependent theories. J. Symb. Log. 2014;79:585–619. Available at: . Publisher's Version
Kaplan I, Usvyatsov A. Strict independence. J. Math. Log. 2014;14:1450008, 28. Available at: . Publisher's Version
Kaplan I, Simon P. Witnessing Dp-Rank. Notre Dame J. Form. Log. 2014;55:419–429. Available at: . Publisher's Version
2013
Kaplan I, Onshuus A, Usvyatsov A. Additivity of the dp-rank. Trans. Amer. Math. Soc. 2013;365:5783–5804. Available at: . Publisher's VersionAbstract
The main result of this article is sub-additivity of the dp-rank. We also show that the study of theories of finite dp-rank can not be reduced to the study of its dp-minimal types, and discuss the possible relations between dp-rank and VC-density.
Kaplan I, Shelah S. Chain conditions in dependent groups. Ann. Pure Appl. Logic. 2013;164:1322–1337. Available at: . Publisher's Version