Notes on iterative summation of alternating factorials.
Mathematics, 2025, Vol. 13, No. 12, Article 1942.
DOI 10.3390/math13121942.
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On the significance of parameters and the projective level in the Choice and Collection axioms.
Memoirs of the American Mathematical Society, 2025, under review.
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On the uniform projection and covering problems in descriptive set theory under the axiom of constructibility.
Mathematics, 2025, Vol. 13, No 3, Article 409.
DOI 10.3390/math13030409
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On the uniform projection problem in descriptive set theory.
Axioms, 2025, Vol. 14, No. 1, Art. 13.
DOI: 10.3390/axioms14010013
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Независимость схемы свертки в арифметике второго порядка от счетного выбора без параметров.
Математические заметки, 2025, том 117, вып. 2, стр. 257–269.
DOI: 10.4213/mzm14255
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Parameterfree comprehension does not imply full comprehension in second order Peano arithmetic.
Studia Logica, 2025, 113, pp. 109--124.
DOI: 10.1007/s11225-024-10108-2
(WoS Q2, Scimago Q1, БС2)
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On the uniform projection and covering problems in descriptive set theory under the axiom of constructibility.
Preprints, 2024, 2024101379. DOI 10.20944/preprints202410.1379.v1 Перейти к публикации
On the significance of parameters and the projective level in the Choice and Collection axioms.
arXiv: 2407.20098 [math.LO], August 2024, 127 pp.
DOI: 10.48550/arXiv.2407.20098 Перейти к публикации
Jensen reals by means of ZFC and second-order Peano arithmetic.
Axioms, Jan 30 2024, Vol. 13, No. 2, Art. 96.
DOI: 10.3390/axioms13020096
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A good lightface well-ordering of the reals does not imply the existence of boldface well-orderings.
Annals of Pure and Applied Logic, Jun 2024, Vol. 175, Iss. 6, Art. 103426.
DOI: 10.1016/j.apal.2024.103426
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2023 г.
Авторы: Lyubetsky V., Rubanov L., Tereshina M., Ivanova A., Araslanova K., Uroshlev L., Goremykina G., Yang J., Kanovei V., Zverkóv O., Shitikov A., Korotkova D., Zaraisky A.
Wide-scale identification of novel/eliminated genes responsible for evolutionary transformations.
Biology Direct, 2023, Vol. 18, Art. 45.
DOI: 10.1186/s13062-023-00405-6
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A model in which well-orderings of the reals first appear at a given projective level, part III, the case of second-order PA.
Mathematics, 2023, 11(15), Article no. 3294.
DOI: 10.3390/math11153294
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A model in which well-orderings of the reals first appear at a given projective level, part II.
Mathematics, 2023, 11(11), Article no. 2517.
DOI: 10.3390/math11112517
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On the Significance of Parameters in the Choice and Collection Schemata in the 2nd Order Peano Arithmetic.
Mathematics, 2023, 11 (3), Article no. 726.
DOI: 10.3390/math11030726
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On Russell typicality in Set Theory.
Proceedings of the American Mathematical Society, 2023, 151, no 5, pp. 2201–2210.
DOI: 10.1090/proc/16232
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On the significance of parameters in the choice and collection schemata in the 2nd order Peano arithmetic.
Preprints, Dec 26 2022, Art. 2022120255.
DOI: 10.20944/preprints202212.0255.v2 Перейти к публикации
The parameterfree Comprehension does not imply the full Comprehension in the 2nd order Peano arithmetic.
Eprint, arXiv:2209.07599 [math.LO], Sep 15 2022.
DOI: 10.48550/arXiv.2209.07599 Перейти к публикации
A model in which the Separation principle holds for a given effective projective Sigma-class.
Eprint, arXiv:2204.03915 [math.LO], Apr 8 2022.
DOI: 10.48550/arXiv.2204.03915 Перейти к публикации
On the Significance of Parameters in the Choice and Collection Schemata in the 2nd Order Peano Arithmetic.
Preprints,
2022, no 2022120255.
DOI: 10.20944/preprints202212.0255.v2 Перейти к публикации
On sets that hereditarily belong to countable OD sets.
European Set Theory Conference 2022.
Department of Mathematics of the University of Turin and the European Set Theory Society,
August 29 - September 2, 2022, Turin, Italy.
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The parameterfree Comprehension does not imply the full Comprehension in the 2nd order Peano arithmetic. arXiv: 2209.07599 [math.LO], September 2022. Перейти к публикации
A model in which wellorderings of the reals appear at a given projective level.
Axioms, 2022, 11(8), Article no 354.
DOI: 10.3390/axioms11080354
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A model in which the Separation principle holds for a given effective projective Sigma-class.
arXiv: 2204.03915 [math.LO], April 2022. Перейти к публикации
On the ‘definability of definable’ problem of Alfred Tarski, Part II.
Transactions of the American Mathematical Society,
2022, Vol. 375, No. 12, P. 8651–8686.
DOI: 10.1090/tran/8710
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A model in which the separation principle holds for a given effective projective Sigma-class.
Axioms, 2022, 11, Issue 3, Paper no. 122.
DOI 10.3390/axioms11030122
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A generic model in which the Russell-nontypical sets satisfy ZFC strictly between HOD and the universe.
Mathematics, 2022, 10, Issue 3, Paper no. 491, DOI 10.3390/math10030491
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On the ‘Definability of definable’ problem of Alfred Tarski.
Logic Colloquium 2021.
European Summer Meeting of the Association for Symbolic Logic.
Book of abstracts.
S.Chlebowski, D.Ratajczyk, P.Lupkowski (eds.)
Adam Mickiewicz University, Poznan, Poland, 19-24 July 2021.
Page 195.
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A product forcing model in which the Russell-nontypical sets satisfy ZFC strictly between HOD and the universe. arXiv: 2111.13491 [math.LO], November 2021.
DOI: 10.48550/arXiv.2111.13491 Перейти к публикации
Paradoxical partitions of the reals by Robert Solovay.
International Conference "Adian 90: Conference on Mathematical Logic, Algebra and Computation"
7 July 2021, 12:45–13:30, Steklov Math. Inst. (Moscow).
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On effectively indiscernible projective sets and the Leibniz-Mycielski axiom.
Mathematics, 2021, Vol. 9, No. 14, Art. 1670.
DOI: 10.3390/math9141670
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An unpublished theorem of Solovay, on OD partitions of reals into two non-OD parts, revisited.
Journal of Mathematical Logic, 2021, vol. 21, Issue 03, Article No. 2150014
DOI: 10.1142/S0219061321500148
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Модели теории множеств, в которых теорема отделимости неверна.
Известия Российской академии наук. Серия математическая,
2021, том 85, №6, стр. 164–204.
DOI: 10.4213/im8937
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Factoring Solovay-random extensions, with application to the Reduction property.
Monatshefte fur Mathematik, 2021, 194, 1, pp. 105–117.
DOI: 10.1007/s00605-020-01482-9
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The full basis theorem does not imply analytic wellordering,
Annals of pure and applied logic, 2021, volume 172, issue 4, paper no 102929.
DOI: 10.1016/j.apal.2020.102929
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On the "definability of definable" problem of Alfred Tarski.
Mathematics, 2020, Vol. 8, No. 12, Art. 2214.
DOI: 10.3390/math8122214
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Об отношении равенства с точностью до счетного множества.
Математические заметки,
2020, том 108, вып. 4, стр. 629–631.
DOI: 10.4213/mzm12753 (WoS Q3) Перейти к публикации
Models of set theory in which nonconstructible reals first appear at a given projective level .
Mathematics,
2020, Vol. 8, No. 6, Art. 910.
DOI: 10.3390/math8060910
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Metric completions, Heine-Borel, and approachability.
Open Mathematics, 2020, Volume 18, Issue 1, 162-166.
DOI: 10.1515/math-2020-0017
WoS Q3 Перейти к публикации
2020 г.
Авторы: Bair J., Blaszczyk P., Heinig P., Kanovei V., Katz M., McGaffey T.
Cauchy"s work on integral geometry, centers of curvature, and other applications of infinitesimals.
Real Analysis Exchange, 2020,
Vol. 45, No. 1, pp. 127-150 .
DOI: 10.14321/realanalexch.45.1.0127 Перейти к публикации
Canonization of smooth equivalence relations on infinite-dimensional E0-large products.
Notre Dame Journal of Formal Logic,
2020, Vol. 61, No. 1, P. 117–128.
DOI: 10.1215/00294527-2019-0034
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Теория множеств: абсолютно неразрешимые классические проблемы.
Учебное пособие для вузов, 2-е изд. М.: Юрайт, 2019. 348 стр.
ISBN: 978-5-534-10390-8
2019 г.
Авторы: Bascelli T., Blaszczyk P., Kanovei V., Katz K., Katz M., Kutateladze S., Nowik T., Schaps D., Sherry D.
Gregory’s Sixth Operation.
Mircea Pitici (Editor), The Best Writing on Mathematics 2019 Princeton University Press, 2019, pp. 195–207.
DOI: 10.1515/9780691197944-015
Book DOI: 10.1515/9780691197944
Online ISBN: 9780691197944
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2019 г.
Авторы: Bair J., Blaszczyk P., Kanovei V., Katz M., Heinig P.
19th-century real analysis, forward and backward.
Antiquitates Mathematicae, 2019, 13, 1, pp. 19-49.
DOI:10.14708/am.v13i1.6440
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Definable selector for Δ02 sets modulo countable.
arXiv: 1910.00926 [math.LO],
October 2019 Перейти к публикации
2019 г.
Авторы: Bottazzi E., Kanovei V., Katz M., Mormann T., Sherry D.
On mathematical realism and applicability of hyperreals.
Matematychni Studii, 2019, 51, 2, pp. 200-224.
DOI:10.15330/ms.51.2.200-224
SCIMAGO, Q3 Перейти к публикации
