A definable E₀ class containing no definable elements. Archive for Mathematical Logic, 2015, 54, 5, pp. 711–723. DOI: 10.1007/s00153-015-0436-9
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Generalization of one construction by Solovay. Siberian Mathematical Journal, 2015, 56, no. 6, pp. 1072–1079. DOI: 10.1134/S0037446615060117
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Proofs and retributions, Foundations of Science, 2015, 20, 1, pp 1-25.
DOI: 10.1007/s10699-013-9340-0
SCIMAGO, Q2
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On effective σ-boundedness and σ-compactness in Solovay"s model, Mathematical notes, 2015, 98, 1-2, pp. 273--282. DOI: 10.1134/S0001434615070299
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On countable cofinality and decomposition of definable thin orderings, arXiv:1412.0195 [math.LO], Dec. 2014, 21 p.
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Counterexamples to countable-section Π12 uniformization and Π13 separation, arXiv:1410.2537 [math.LO], Oct. 2014, 18 p.
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A definable $E_0$-class containing no definable elements, arXiv:1408.6642 [math.LO], Aug 2014, 12 p.
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A countable definable set of reals containing no definable elements,
arXiv:1408.3901 [math.LO], Aug. 2014, 11 p.
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Linearization of partial quasi-orderings in the Solovay model revisited, arXiv:1408.1202 [math.LO], Aug. 2014, 13 p.
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Bounding and decomposing thin analytic partial orderings, arXiv:1407.0929v2 [math.LO], Jul 2014, 12 p.
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A generalization of Solovay"s Sigma-construction. arXiv:1402.0961 [math.LO]. 5 Feb 2014, 6 p.
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On the automorphisms behind the Gitik -- Koepke model. In: Infinity, Computability, and Metamathematics: Festschrift celebrating the 60th birthdays of Peter Koepke and Philip Welch. College publications, London, 2014, SeriesTributes, Vol. 23, pp. 229--253
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Fermat, Leibniz, Euler, and the gang: the true history of the concepts of limit and shadow. Notices of the AMS, 2014, 61, 8, pp. 848--864.
DOI: 10.1090/noti1149
SCIMAGO, Q3
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On countable cofinality of definable chains in Borel partial orders. arXiv:1312.2064 [math.LO]. Sat, 7 Dec 2013
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Surreal numbers from the point of view of nonstandard analysis, Sy David Friedman"s 60th-Birthday Conference, Vienna, Austria, July 2013.
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Felix Hausdorff. Gesammelte Werke, Band IA: Allgemeine Mengenlehre. Berlin: Springer, 2013, xxvi+538 pp., Monograph ISBN: 978-3-642-25598-4.
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Is mathematical history written by the victors? Notices of the AMS, 2013, 60, no 7, pp. 886-904.
DOI: 10.1090/noti1026
SCIMAGO, Q3
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Canonical Ramsey Theory on Polish Spaces. Cambridge University Press, Cambridge, UK, 2013, viii+269 pp., Monograph ISBN 978-1-107-02685-8
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Contemporary Set Theory: absolutely undecidable classical problems. (Russian.) Monograph, published by Independent Moscow university, 2013, 384 pages.
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Kommentar zu [H 1936b], Summen von $aleph_1$ Mengen. In: Felix Hausdorff, Gesammelte Werke. Band Ia: Allgemeine Mengenlehre, Berlin: Springer, 2013, pp. 364-366.
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Kommentar zu [H 1909a], Die Graduierung nach dem Endverlauf. In: Felix Hausdorff, Gesammelte Werke. Band Ia: Allgemeine Mengenlehre, Berlin: Springer, 2013, pp. 336-346.
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Gaps in partially ordered sets and related problems, In: Felix Hausdorff, Gesammelte Werke. Band Ia: Allgemeine Mengenlehre, Berlin: Springer, 2013, pp. 367-405.
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On effective $sigma$-boundedness and $sigma$-compactness, Mathematical Logic Quarterly, 2013, 59, no 3, pp. 147-166. doi: 10.1002/malq.201200001
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Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics, Foundations of Science, 2013, 18, 2, pp. 259-296. DOI 10.1007/s10699-012-9316-5
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“Effective Compactness and Sigma-Compactness” Mathematical notes, 2012, Vol. 91, Iss. 6, P. 789–799.
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An infinity which depends on the axiom of choice, Applied Mathematics and Computation, Vol. 218, Iss. 16, April 15 2012, P. 8196–8202,
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On effective compactness and sigma-compactness. arXiv:1103.1060 [math.LO]. Sat, 5 Mar 2011
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On effective sigma-boundedness and sigma-compactness. arXiv:1110.0919 [math.LO]. Wed, 5 Oct 2011.
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An infinity which needs the axiom of choice, Logic Colloquium 2011, Barcelona, 2011, Contributed Talks.
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On effective compactness and sigma-compactness, Third European Set Theory Conference, 3 - 8 July 2011, ICMS, Edinburgh, UK.
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“An effective minimal encoding of uncountable sets” Siberian mathematical journal, 2011, Vol. 52, No. 5, pp. 854–863.
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On the infinitary pantachie of Du Bois Reymond, Proceedings of the International Mathematical Conference “50 Years Of IITP”, Moscow, Russia, July 25–29, 2011, 7 pages.
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Linear ROD subsets of Borel partial orders are countably cofinal in Solovay"s model. arXiv:1005.5534 [math.LO]. Sun, 30 May 2010.
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On automorphisms behind the Gitik -- Koepke model for violation of the Singular Cardinals Hypothesis w/o large cardinals. arXiv:1008.3471 [math.LO]. Fri, 20 Aug 2010.
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A weak dichotomy below E_1 * E_3, Topology and its applications, 2010, 157, 8, pp. 1465-–1478 doi:10.1016/j.topol.2009.03.052.
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On coding uncountable sets by reals, Mathematical Logic Quarterly, 2010, 56, No. 4, pp. 409--424.
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Julius Koenig sets as higher infinity, Infinite and Infinitesimal in Mathematics and Natural Sciences. International Workshop, 17-21 May 2010, Book of Abstracts, p. 27, University of Calabria, Italy, 2010.
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Contemporary Set Theory: Borel and projective sets. (Russian.) Monograph, published by Independent Moscow university, 2010, 320 pages.
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Borel reducibility as an additive property of domains, Journal of Mathematical Sciences, 2009, Vol. 158, No. 5, P. 708–712.
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On Hausdorff"s ordered structures. Izvestiya: Mathematics, 2009, 73, 5, pp. 939--958.
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On definability of some counterexamples in descriptive set theory, ESI Workshop on Large Cardinals and descriptive Set Theory, Vienna, June 14--27, 2009, Vienna, Erwin Schroedinger Institute, 2009, p. 20.
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Nonstandard class and superset theories, Logic and Mathematics, The University of York, 3-7 August, 2009. Department of Mathematics, University of York, 2009, p. 21.
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Reasonable non-Radon-Nikodym ideals, Topology and its Applications, 2009, 156, 5, pp. 911–914.
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Reasonable non--Radon--Nikodym ideals. arXiv:0806.4760 [math.LO]. Sun, 29 Jun 2008
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Felix Hausdorff. Gesammelte Werke, Band III: Mengenlehre, Deskriptive Mengenlehre und Topologie. Berlin: Springer, 2008, xxii+1005 pp., Monograph ISBN: 978-3-540-76806-7.
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Anmerkungen der Herausgeber, In: Felix Hausdorff, Gesammelte Werke. Band III: Descriptive Mengenlehre und Topologie, Berlin: Springer, 2008, pp. 352-398.

Hausdorff und Lusin, In: Felix Hausdorff, Gesammelte Werke. Band III: Descriptive Mengenlehre und Topologie, Berlin: Springer, 2008, pp. 25-30.

Commentary to [H 1916], In: Felix Hausdorff, Gesammelte Werke. Band III: Descriptive Mengenlehre und Topologie, Berlin: Springer, 2008, pp. 439-442.

Commentary to [H 1933a], In: Felix Hausdorff, Gesammelte Werke. Band III: Descriptive Mengenlehre und Topologie, Berlin: Springer, 2008, pp. 478.

Commentary to [H 1933b], In: Felix Hausdorff, Gesammelte Werke. Band III: Descriptive Mengenlehre und Topologie, Berlin: Springer, 2008, pp. 482.