Kharazishvili, Alexander Quasi-invariant measures on topological groups and \(\omega\)-powers. (English) Zbl 07803149 Georgian Math. J. 31, No. 1, 69-78 (2024). MSC: 28A05 28D05 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 31, No. 1, 69--78 (2024; Zbl 07803149) Full Text: DOI
Kharazishvili, Alexander Nonmeasurable products of absolutely negligible sets in uncountable solvable groups. (English) Zbl 1523.28002 Georgian Math. J. 30, No. 3, 397-402 (2023). Reviewer: Miroslav Repický (Košice) MSC: 28A05 28A20 28C10 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 30, No. 3, 397--402 (2023; Zbl 1523.28002) Full Text: DOI
Basu, Sanjib; Ray, Atasi Deb; Pramanik, Abhit Chandra On completely non-Baire unions in category bases. (English) Zbl 1518.54018 Georgian Math. J. 30, No. 3, 329-332 (2023). MSC: 54E52 28A05 03E10 03E20 PDFBibTeX XMLCite \textit{S. Basu} et al., Georgian Math. J. 30, No. 3, 329--332 (2023; Zbl 1518.54018) Full Text: DOI arXiv
Singh Kainth, Surinder Pal; Singh, Narinder Some properties of Vitali sets. (English) Zbl 1528.28001 Georgian Math. J. 30, No. 1, 117-120 (2023). MSC: 28A05 28A20 03E25 PDFBibTeX XMLCite \textit{S. P. Singh Kainth} and \textit{N. Singh}, Georgian Math. J. 30, No. 1, 117--120 (2023; Zbl 1528.28001) Full Text: DOI
Kharazishvili, Alexander On rainbow isosceles \(n\)-simplexes. (English) Zbl 1498.52023 Georgian Math. J. 29, No. 4, 543-549 (2022). Reviewer: Maja Petrović (Beograd) MSC: 52B45 51M04 51M20 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 29, No. 4, 543--549 (2022; Zbl 1498.52023) Full Text: DOI
Beriashvili, Mariam; Schindler, Ralf Mazurkiewicz sets with no well-ordering of the reals. (English) Zbl 07536923 Georgian Math. J. 29, No. 3, 343-345 (2022). MSC: 03E25 03E35 PDFBibTeX XMLCite \textit{M. Beriashvili} and \textit{R. Schindler}, Georgian Math. J. 29, No. 3, 343--345 (2022; Zbl 07536923) Full Text: DOI
Kharazishvili, Alexander On a geometric statement of Ramsey type. (English) Zbl 07501803 Georgian Math. J. 29, No. 2, 229-232 (2022). MSC: 03E75 05D10 52C99 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 29, No. 2, 229--232 (2022; Zbl 07501803) Full Text: DOI
Purtukhia, Omar; Zerakidze, Zurab The consistent criteria for hypotheses testing. (English) Zbl 1475.62079 Georgian Math. J. 28, No. 5, 787-791 (2021). MSC: 62A01 62F03 62H15 PDFBibTeX XMLCite \textit{O. Purtukhia} and \textit{Z. Zerakidze}, Georgian Math. J. 28, No. 5, 787--791 (2021; Zbl 1475.62079) Full Text: DOI
Basu, Sanjib; Sen, Debasish A nonseparable invariant extension of Lebesgue measure – a generalized and abstract approach. (English) Zbl 1480.28001 Georgian Math. J. 28, No. 5, 687-693 (2021). MSC: 28A05 28C10 28D05 PDFBibTeX XMLCite \textit{S. Basu} and \textit{D. Sen}, Georgian Math. J. 28, No. 5, 687--693 (2021; Zbl 1480.28001) Full Text: DOI arXiv
Kharazishvili, Alexander On the generalized nonmeasurability of vitali sets and Bernstein sets. (English) Zbl 07379139 Georgian Math. J. 28, No. 4, 575-579 (2021). MSC: 03E50 28A05 28E15 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 28, No. 4, 575--579 (2021; Zbl 07379139) Full Text: DOI
Kharazishvili, Alexander Some remarks on Sierpiński-Zygmund functions in the strong sense. (English) Zbl 1464.26003 Georgian Math. J. 27, No. 4, 569-575 (2020). Reviewer: Piotr Sworowski (Bydgoszcz) MSC: 26A15 26A21 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 27, No. 4, 569--575 (2020; Zbl 1464.26003) Full Text: DOI
Kharazishvili, Alexander On finite sums of periodic functions. (English) Zbl 1439.26013 Georgian Math. J. 27, No. 2, 265-269 (2020). MSC: 26A03 26A12 28A20 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 27, No. 2, 265--269 (2020; Zbl 1439.26013) Full Text: DOI
Kharazishvili, Alexander On orbits without the Baire property. (English) Zbl 1435.22016 Georgian Math. J. 26, No. 4, 625-628 (2019). Reviewer: Miroslav Repický (Košice) MSC: 22F30 28A05 28D05 54H11 54H15 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 26, No. 4, 625--628 (2019; Zbl 1435.22016) Full Text: DOI
Basu, Sanjib; Sen, Debasish An abstract formulation of a theorem of Sierpiński on the nonmeasurable sum of two measure zero sets. (English) Zbl 1431.28001 Georgian Math. J. 26, No. 4, 617-620 (2019). MSC: 28A05 28A99 03E05 03E10 28D99 PDFBibTeX XMLCite \textit{S. Basu} and \textit{D. Sen}, Georgian Math. J. 26, No. 4, 617--620 (2019; Zbl 1431.28001) Full Text: DOI
Kipiani, Archil Automorphism groups of mono-unary algebras and CH. (English) Zbl 1448.08002 Georgian Math. J. 26, No. 4, 599-610 (2019). Reviewer: Danica Jakubiková-Studenovská (Košice) MSC: 08A60 03E17 03E50 08A35 PDFBibTeX XMLCite \textit{A. Kipiani}, Georgian Math. J. 26, No. 4, 599--610 (2019; Zbl 1448.08002) Full Text: DOI
Frankiewicz, Ryszard; Jureczko, Joanna; Węglorz, Bogdan On Kuratowski partitions in the Marczewski and Laver structures and Ellentuck topology. (English) Zbl 1480.03038 Georgian Math. J. 26, No. 4, 591-598 (2019). MSC: 03E05 03E15 03E35 54E52 PDFBibTeX XMLCite \textit{R. Frankiewicz} et al., Georgian Math. J. 26, No. 4, 591--598 (2019; Zbl 1480.03038) Full Text: DOI
Tetunashvili, Tengiz On combinatorial and set-theoretical aspects of some finite and infinite point sets. (English) Zbl 1480.52002 Georgian Math. J. 26, No. 4, 583-590 (2019). MSC: 52A10 52C10 PDFBibTeX XMLCite \textit{T. Tetunashvili}, Georgian Math. J. 26, No. 4, 583--590 (2019; Zbl 1480.52002) Full Text: DOI
Frankiewicz, Ryszard; Jureczko, Joanna On the Gitik-Shelah theorem. (English) Zbl 1480.03037 Georgian Math. J. 26, No. 4, 555-559 (2019). MSC: 03E05 03E35 03E40 03E20 54E52 PDFBibTeX XMLCite \textit{R. Frankiewicz} and \textit{J. Jureczko}, Georgian Math. J. 26, No. 4, 555--559 (2019; Zbl 1480.03037) Full Text: DOI
Kirtadze, Aleks On Kharazishvili type measures in infinite-dimensional Polish vector spaces. (English) Zbl 1431.28002 Georgian Math. J. 26, No. 4, 537-543 (2019). MSC: 28A05 28D05 PDFBibTeX XMLCite \textit{A. Kirtadze}, Georgian Math. J. 26, No. 4, 537--543 (2019; Zbl 1431.28002) Full Text: DOI
Chatyrko, Vitalij A. Semigroups of pathological sets. (English) Zbl 1445.54020 Georgian Math. J. 26, No. 4, 515-528 (2019). Reviewer: K. P. Hart (Delft) MSC: 54H05 03E15 26A21 28A05 PDFBibTeX XMLCite \textit{V. A. Chatyrko}, Georgian Math. J. 26, No. 4, 515--528 (2019; Zbl 1445.54020) Full Text: DOI
Pambuccian, Victor Existence of special rainbow triangles in weak geometries. (English) Zbl 1431.51007 Georgian Math. J. 26, No. 4, 489-498 (2019). MSC: 51F05 51F15 51F20 51G05 PDFBibTeX XMLCite \textit{V. Pambuccian}, Georgian Math. J. 26, No. 4, 489--498 (2019; Zbl 1431.51007) Full Text: DOI
Zakrzewski, Piotr On absolutely Baire nonmeasurable functions. (English) Zbl 1480.03041 Georgian Math. J. 26, No. 4, 483-487 (2019). MSC: 03E15 54E52 28A05 PDFBibTeX XMLCite \textit{P. Zakrzewski}, Georgian Math. J. 26, No. 4, 483--487 (2019; Zbl 1480.03041) Full Text: DOI
Hejduk, Jacek; Wiertelak, Renata On topologies related to the extension of the Lebesgue measure. (English) Zbl 1433.54004 Georgian Math. J. 26, No. 4, 611-616 (2019). MSC: 54A10 28A05 PDFBibTeX XMLCite \textit{J. Hejduk} and \textit{R. Wiertelak}, Georgian Math. J. 26, No. 4, 611--616 (2019; Zbl 1433.54004) Full Text: DOI
Basu, Sanjib; Dutta, Krishnendu A decomposition theorem for locally compact groups. (English) Zbl 1414.28023 Georgian Math. J. 26, No. 1, 29-33 (2019). Reviewer: Hans Weber (Udine) MSC: 28C10 PDFBibTeX XMLCite \textit{S. Basu} and \textit{K. Dutta}, Georgian Math. J. 26, No. 1, 29--33 (2019; Zbl 1414.28023) Full Text: DOI
Kharazishvili, Alexander A note on the Borel types of some small sets. (English) Zbl 1400.28003 Georgian Math. J. 25, No. 3, 419-425 (2018). MSC: 28A05 28C10 28D05 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 25, No. 3, 419--425 (2018; Zbl 1400.28003) Full Text: DOI
Beriashvili, Mariam; Gill, Tepper; Kirtadze, Aleks On measurability of real-valued functions in infinite-dimensional topological vector spaces. (English) Zbl 1391.28001 Georgian Math. J. 25, No. 2, 195-199 (2018). MSC: 28A05 28D05 PDFBibTeX XMLCite \textit{M. Beriashvili} et al., Georgian Math. J. 25, No. 2, 195--199 (2018; Zbl 1391.28001) Full Text: DOI
Kharazishvili, Alexander On some classes of negligible subsets of the Euclidean plane. (English) Zbl 1384.28004 Georgian Math. J. 25, No. 1, 41-46 (2018). MSC: 28A05 28D05 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 25, No. 1, 41--46 (2018; Zbl 1384.28004) Full Text: DOI
Kharazishvili, Alexander A characterization of sets containing absolutely nonmeasurable subsets. (English) Zbl 1364.28001 Georgian Math. J. 24, No. 2, 211-215 (2017). MSC: 28A05 28C10 28D05 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 24, No. 2, 211--215 (2017; Zbl 1364.28001) Full Text: DOI
Kharazishvili, Alexander On the difference between a Vitali-Bernstein selector and a partial Vitali-Bernstein selector. (English) Zbl 1346.28002 Georgian Math. J. 23, No. 3, 387-391 (2016). MSC: 28A05 28D05 03E75 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 23, No. 3, 387--391 (2016; Zbl 1346.28002) Full Text: DOI
Hejduk, J. Non-Baire unions in category bases. (English) Zbl 0862.04001 Georgian Math. J. 3, No. 6, 543-546 (1996). Reviewer: T.Natkaniec (Bydgoszcz) MSC: 03E20 28A05 26A03 PDFBibTeX XMLCite \textit{J. Hejduk}, Georgian Math. J. 3, No. 6, 543--546 (1996; Zbl 0862.04001) Full Text: EuDML EMIS
Kharazishvili, A. Some partitions consisting of Jordan curves. (English) Zbl 0844.54024 Georgian Math. J. 3, No. 3, 233-238 (1996). MSC: 54F50 57N12 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 3, No. 3, 233--238 (1996; Zbl 0844.54024) Full Text: EuDML EMIS
Kharazishvili, A. Generalized Sierpinski sets. (English) Zbl 0834.54022 Georgian Math. J. 1, No. 5, 479-486 (1994). Reviewer: D.Maharam-Stone (Boston) MSC: 54H05 03E15 54A25 03E10 PDFBibTeX XMLCite \textit{A. Kharazishvili}, Georgian Math. J. 1, No. 5, 479--486 (1994; Zbl 0834.54022) Full Text: EuDML EMIS