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2024 year Authors: Kanovei V., Lyubetsky V.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 |
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2024 year Authors: Kanovei V., Lyubetsky V.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 |
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2024 year Authors: Kanovei V., Lyubetsky V.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
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2024 year Authors: Kanovei V., Lyubetsky V.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
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2024 year Authors: Kanovei V., Lyubetsky V.Parameterfree comprehension does not imply full comprehension in second order Peano arithmetic.
Studia Logica, Apr 2024.
DOI: 10.1007/s11225-024-10108-2
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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
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2023 year Authors: Kanovei V., Lyubetsky V.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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2023 year Authors: Kanovei V., Lyubetsky V.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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2023 year Authors: Kanovei V., Lyubetsky V.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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2023 year Authors: Kanovei V., Lyubetsky V.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)
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2022 year Authors: Kanovei V., Lyubetsky V.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 |
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2022 year Authors: Kanovei V., Lyubetsky V.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 |
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2022 year Authors: Kanovei V., Lyubetsky V.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 |
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2022 year Authors: Kanovei V., Lyubetsky V.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 |
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2022 year Authors: Kanovei V.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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2022 year Authors: Kanovei V., Lyubetsky V.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 |
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2022 year Authors: Kanovei V., Lyubetsky V.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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2022 year Authors: Kanovei V., Lyubetsky V.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 |
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2022 year Authors: Kanovei V., Lyubetsky V.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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2022 year Authors: Kanovei V., Lyubetsky V.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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