On the uniform projection and covering problems in descriptive set theory under the axiom of constructibility.
Preprints 2024, 2024101379. https://doi.org/10.20944/preprints202410.1379.v1 Go to publication
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 Go to publication
Jensen Δ1n reals by means of ZFC and second-order Peano arithmetic.
Axioms, Jan 30 2024, Vol. 13, No. 2, Art. 96.
DOI: 10.3390/axioms13020096
(WoS Q1) Go to publication
A good lightface Δ1n well-ordering of the reals does not imply the existence of boldface Δ1n-1 well-orderings.
Annals of Pure and Applied Logic, Jun 2024, Vol. 175, Iss. 6, Art. 103426.
DOI: 10.1016/j.apal.2024.103426
(WoS Q2) Go to publication
Parameterfree comprehension does not imply full comprehension in second order Peano arithmetic.
Studia Logica, Apr 2024.
DOI: 10.1007/s11225-024-10108-2
(WoS Q2) Go to publication
2023 year
Authors: 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
(WoS Q1) Go to publication
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
(WoS Q1) Go to publication
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
(WoS Q1) Go to publication
On Russell typicality in Set Theory.
Proceedings of the American Mathematical Society, 2023, 151, no 5, pp. 2201–2210.
https://doi.org/10.1090/proc/16232 (WoS Q2)
Go to publication
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 Go to publication
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 Go to publication
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 Go to publication
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 Go to publication
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.
Go to publication
The parameterfree Comprehension does not imply the full Comprehension in the 2nd order Peano arithmetic. arXiv: 2209.07599 [math.LO], September 2022. Go to publication
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
(WoS Q2) Go to publication
A model in which the Separation principle holds for a given effective projective Sigma-class.
arXiv: 2204.03915 [math.LO], April 2022. Go to publication
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
(WoS Q2) Go to publication
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
(WoS Q1) Go to publication
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 Go to publication
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).
Go to publication
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
(WoS Q1) Go to publication
Models of set theory in which separation theorem fails.
Izvestiya: Mathematics, 2021, Vol. 85, No 6,1181-1219.
DOI: https://doi.org/10.1070/IM8937
(WoS Q2) Go to publication
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
(WoS Q2) Go to publication
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
(WoS Q1) Go to publication
On the "definability of definable" problem of Alfred Tarski.
Mathematics, 2020, Vol. 8, No. 12, Art. 2214.
DOI: 10.3390/math8122214
(WoS Q1) Go to publication
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
(WoS Q1) Go to publication
Metric completions, Heine-Borel, and approachability.
Open Mathematics, 2020, Volume 18, Issue 1, 162-166.
DOI: 10.1515/math-2020-0017
WoS Q3 Go to publication
2020 year
Authors: 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 Go to publication
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
(WoS Q1) Go to publication
Set theory: absolute undecidability of classical problems.
Textbook for universities, 2nd ed., Moscow, Urait, 2019, 348 p. (in Russian).
ISBN: 978-5-534-10390-8
2019 year
Authors: 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
Go to publication
2019 year
Authors: 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
Go to publication
Definable selector for Δ02 sets modulo countable.
arXiv: 1910.00926 [math.LO],
October 2019 Go to publication
2019 year
Authors: 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 Go to publication
Absoluteness of the Solovay set Σ.
Siberian Mathematical Journal,
2019, 60, no 6, pp. 1003-1006.
DOI: 10.1134/S0037446619060089
(WoS Q3) Go to publication
A model of second-order arithmetic satisfying AC but not DC.
Journal of Mathematical Logic, 2019, 19, no 1, article ID 1850013, pp. 1--39.
DOI 10.1142/S0219061318500137
WoS Q1 (Ranked 1st overall in the category of Logic)
Go to publication
Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy.
Fundamenta mathematicae,
2019, 245, 2, pp. 175--216.
DOI: 10.4064/fm517-7-2018
(WoS Q3) Go to publication
Definable elements of definable Borel sets.
Mathematical Notes,
2019, 105, no 5, pp. 684-693.
DOI: 10.1134/S0001434619050055
(WoS Q3) Go to publication