Kharazishvili, Alexander On uniform sets in Euclidean space \(\mathbf{R}^m\) and \(G\)-volumes. (English) Zbl 07887464 Trans. A. Razmadze Math. Inst. 178, No. 1, 161-163 (2024). MSC: 28A05 28A75 × Cite Format Result Cite Review PDF Full Text: Link
Ntalampekos, Dimitrios CNED sets: countably negligible for extremal distances. (English) Zbl 1543.30065 Sel. Math., New Ser. 30, No. 4, Paper No. 61, 57 p. (2024). MSC: 30C62 30C65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beriashvili, M.; Khachidze, M.; Kirtadze, A. Absolutely negligible sets and their algebraic sums. (English) Zbl 1529.28001 Trans. A. Razmadze Math. Inst. 177, No. 1, 131-133 (2023). MSC: 28A05 28C10 × Cite Format Result Cite Review PDF Full Text: Link
Ohsawa, Takeo Miscellanea on PSH functions and \(L^2\) methods on pseudoconvex domains. (English) Zbl 1525.32012 J. Geom. Anal. 33, No. 10, Paper No. 322, 18 p. (2023). Reviewer: Marek Jarnicki (Kraków) MSC: 32E40 32T05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
De Pauw, Thierry Density estimate from below in relation to a conjecture of A. Zygmund on Lipschitz differentiation. (Borne inférieure de densité en lien avec une conjecture de A. Zygmund sur des bases de dérivation à variation Lipschitzienne.) (English. French summary) Zbl 1518.28003 J. Éc. Polytech., Math. 9, 1473-1512 (2022). MSC: 28A75 26B15 28A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kharazishvili, Alexander On \(T_2\)-negligible \(S_2\)-absolutely nonmeasurable sets in the euclidean plane. (English) Zbl 1480.28002 Bull. TICMI 25, No. 1, 77-81 (2021). MSC: 28A05 28D05 × Cite Format Result Cite Review PDF Full Text: Link
Domagni, Kouakou Francois; Hedayat, A. S.; Sinha, Bikas Kumar On the nature of saturated \(2^k\)-factorial designs for unbiased estimation of non-negligible parameters. (English) Zbl 1455.62152 J. Stat. Plann. Inference 211, 33-40 (2021). MSC: 62K15 62H12 × Cite Format Result Cite Review PDF Full Text: DOI
Beriashvili, Mariam The uniform subsets of the Euclidean plane. (English) Zbl 1481.28002 Trans. A. Razmadze Math. Inst. 174, No. 3, 391-393 (2020). MSC: 28A05 28D05 03E50 × Cite Format Result Cite Review PDF Full Text: Link
Kandemir, Mustafa Burç Some notes on \(\sigma\)-algebraic soft sets. (English) Zbl 1488.28001 An. Univ. Craiova, Ser. Mat. Inf. 47, No. 2, 387-396 (2020). MSC: 28A05 03E72 × Cite Format Result Cite Review PDF
Kirtadze, Aleks The behavior of small sets under the product operation. (English) Zbl 1472.28002 Bull. TICMI 23, No. 2, 109-114 (2019). MSC: 28A05 28D05 × Cite Format Result Cite Review PDF
Kharazishvili, Alexander On generalized measurability properties of certain projective sets. (English) Zbl 1408.28002 Bull. TICMI 22, No. 1, 59-64 (2018). MSC: 28A05 28A20 28D05 × Cite Format Result Cite Review PDF Full Text: EMIS Link
Rybalov, A. N. Generic amplification of recursively enumerable sets. (English. Russian original) Zbl 1439.03078 Algebra Logic 57, No. 4, 289-294 (2018); translation from Algebra Logika 57, No. 4, 448-455 (2018). Reviewer: Patrizio Cintioli (Camerino) MSC: 03D25 03D35 × Cite Format Result Cite Review PDF Full Text: DOI
Bogachev, V. I. Negligible sets in infinite-dimensional spaces. (English) Zbl 1424.28022 Anal. Math. 44, No. 3, 299-323 (2018). MSC: 28C20 46G12 60B05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Kharazishvili, Alexander On Mazurkiewicz sets from the measure-theoretical point of view. (English) Zbl 1373.28001 Bull. TICMI 21, No. 1, 45-54 (2017). MSC: 28A05 28D05 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI
De Pauw, Thierry An example pertaining to the failure of the Besicovitch-Federer structure theorem in Hilbert space. (English) Zbl 1359.28004 Publ. Mat., Barc. 61, No. 1, 153-173 (2017). MSC: 28A75 28A80 53C65 × Cite Format Result Cite Review PDF Full Text: DOI
Kharazishvili, Alexander Measurability properties of Mazurkiewicz sets. (English) Zbl 1362.28003 Bull. TICMI 20, No. 2, 44-46 (2016). MSC: 28A05 28C10 28D05 × Cite Format Result Cite Review PDF
Kharazishvili, Alexander On negligible and absolutely nonmeasurable subsets of uncountable solvable groups. (English) Zbl 1350.28013 Trans. A. Razmadze Math. Inst. 170, No. 1, 69-74 (2016). MSC: 28C10 × Cite Format Result Cite Review PDF Full Text: DOI
Kirtadze, Aleks On small sets from the measure-theoretical point of view. (English) Zbl 1354.28010 Trans. A. Razmadze Math. Inst. 170, No. 2, 205-207 (2016). MSC: 28C10 43A05 × Cite Format Result Cite Review PDF Full Text: DOI
Calude, Cristian S.; Desfontaines, Damien Universality and almost decidability. (English) Zbl 1335.68086 Fundam. Inform. 138, No. 1-2, 77-84 (2015). MSC: 68Q05 03D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kharazishvili, Alexander A partition of an uncountable solvable group into three negligible subsets. (English) Zbl 1336.28011 Bull. TICMI 19, No. 1, 37-44 (2015). Reviewer: Hans Weber (Udine) MSC: 28D05 28C99 × Cite Format Result Cite Review PDF
Kharazishvili, A. On measurability properties of Bernstein sets. (English) Zbl 1296.28003 Proc. A. Razmadze Math. Inst. 164, 63-70 (2014). MSC: 28A05 28D05 03E25 03E30 × Cite Format Result Cite Review PDF Full Text: Link
Pantsulaia, G. On strange null sets in some vector spaces. (English) Zbl 1291.28014 Georgian Int. J. Sci. Technol. 6, No. 1, 41-48 (2014). MSC: 28C10 28C20 20K10 × Cite Format Result Cite Review PDF
Horbaczewska, Grażyna; Karasińska, Aleksandra; Wagner-Bojakowska, Elżbieta Properties of the \(\sigma\)-ideal of microscopic sets. (English) Zbl 1329.28007 Filipczak, Małgorzata (ed.) et al., Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński on the occasion of his 90th birthday. Łódź: Łódź University Press, University of Łódź, Faculty of Mathematics and Computer Science (ISBN 978-83-7525-971-1/pbk). 325-343 (2013). MSC: 28A05 54H05 × Cite Format Result Cite Review PDF
Kharazishvili, A. Some unsolved problems in measure theory. (English) Zbl 1290.28003 Proc. A. Razmadze Math. Inst. 162, 59-77 (2013). MSC: 28A05 28D05 × Cite Format Result Cite Review PDF
Rutherfoord, Vermont; Sagher, Yoram Negligible variation and the change of variables theorem. (English) Zbl 1270.26008 Indiana Univ. Math. J. 61, No. 1, 31-44 (2012). Reviewer: Alexandru Negrescu (Bucharest) MSC: 26A36 26A46 26A39 26A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Niculescu, Constantin P.; Popovici, Florin The monotone convergence theorem for the Riemann integral. (English) Zbl 1249.26013 An. Univ. Craiova, Ser. Mat. Inf. 38, No. 2, 55-58 (2011). MSC: 26A42 26A39 × Cite Format Result Cite Review PDF
Kharazishvili, A. B. A combinatorial problem on translation-invariant extensions of the Lebesgue measure. (English) Zbl 1217.28002 Expo. Math. 29, No. 1, 150-158 (2011). MSC: 28A05 28D05 × Cite Format Result Cite Review PDF Full Text: DOI
Fremlin, D. H. Measure theory. Vol. 4. Topological measure spaces. Part I, II. Corrected second printing of the 2003 original. (English) Zbl 1166.28001 Colchester: Torres Fremlin (ISBN 0-9538129-4-4). 528 p./Pt. I, 439 p., 19 p. (errata)/Pt. II. (2006). Reviewer: Ryszard Pawlak (Łódź) MSC: 28-01 26-01 54-02 × Cite Format Result Cite Review PDF
Kharazishvili, Alexander On absolutely negligible sets in uncountable solvable groups. (English) Zbl 1085.28001 Georgian Math. J. 12, No. 2, 255-260 (2005). MSC: 28A05 28D05 × Cite Format Result Cite Review PDF
Kirtadze, A. On the method of direct products in the theory of quasi-invariant measures. (English) Zbl 1088.28009 Georgian Math. J. 12, No. 1, 115-120 (2005). Reviewer: Sergey Lüdkovsky (Moskva) MSC: 28C10 28A05 28D05 × Cite Format Result Cite Review PDF
Kharazishvili, A.; Kirtadze, A. On algebraic sums of absolutely negligible sets. (English) Zbl 1092.28001 Proc. A. Razmadze Math. Inst. 136, 55-61 (2004). MSC: 28A05 28D05 × Cite Format Result Cite Review PDF
Kharazishvili, A.; Kirtadze, A. On algebraic sums of measure zero sets in uncountable commutative groups. (English) Zbl 1078.28002 Proc. A. Razmadze Math. Inst. 135, 97-103 (2004). MSC: 28A05 28D05 28C99 × Cite Format Result Cite Review PDF
Kharazishvili, A. On negligible and absolutely nonmeasurable subsets of the Euclidean plane. (English) Zbl 1051.28001 Georgian Math. J. 11, No. 3, 479-487 (2004). MSC: 28A05 28D05 × Cite Format Result Cite Review PDF
Preiss, David Geometric measure theory in Banach spaces. (English) Zbl 1064.46068 Johnson, W. B. (ed.) et al., Handbook of the geometry of Banach spaces. Volume 2. Amsterdam: North-Holland (ISBN 0-444-51305-1/hbk). 1519-1546 (2003). Reviewer: Gilles Godefroy (Paris) MSC: 46T12 46T20 28A75 28A78 28C20 46G12 46-00 × Cite Format Result Cite Review PDF
Kharazishvili, A. On vector sums of measure zero sets. (English) Zbl 1002.28014 Georgian Math. J. 8, No. 3, 493-498 (2001). MSC: 28B05 28A05 × Cite Format Result Cite Review PDF Full Text: EuDML
Benyamini, Yoav; Lindenstrauss, Joram Geometric nonlinear functional analysis. Volume 1. (English) Zbl 0946.46002 Colloquium Publications. American Mathematical Society (AMS). 48. Providence, RI: American Mathematical Society (AMS). xi, 488 p. (2000). Reviewer: Jürgen Appell (Würzburg) MSC: 46-02 47-02 × Cite Format Result Cite Review PDF
McClure, Mark The prevalent dimension of graphs. (English) Zbl 0943.28012 Real Anal. Exch. 23(1997-98), No. 1, 241-246 (1998). Reviewer: J.Veselý (Praha) MSC: 28A78 28C20 × Cite Format Result Cite Review PDF
Banakh, Taras Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold. (English) Zbl 0967.57021 Topology Appl. 86, No. 2, 123-131 (1998). MSC: 57N20 54C55 54F35 × Cite Format Result Cite Review PDF Full Text: DOI
Natkaniec, Tomasz Extendability and almost continuity. (English) Zbl 0843.26002 Real Anal. Exch. 21(1995-96), No. 1, 349-355 (1996). MSC: 26A15 54C08 × Cite Format Result Cite Review PDF
Rosen, Harvey Every real function is the sum of two extendable connectivity functions. (English) Zbl 0847.26003 Real Anal. Exch. 21(1995-96), No. 1, 299-303 (1996). Reviewer: T.Natkaniec (Bydgoszcz) MSC: 26A15 54C08 × Cite Format Result Cite Review PDF
Kharazishvili, Aleksander Small sets in uncountable Abelian groups. (English) Zbl 0856.28007 Acta Univ. Lodz., Folia Math. 7, 31-39 (1995). Reviewer: O.Lipovan (Timişoara) MSC: 28C10 43A05 × Cite Format Result Cite Review PDF
Kharazishvili, A. B. Some questions concerning invariant extensions of Lebesgue measure. (English) Zbl 0858.28007 Real Anal. Exch. 20(1994-95), No. 2, 580-592 (1995). Reviewer: Z.Lipecki (Wrocław) MSC: 28C10 43A05 × Cite Format Result Cite Review PDF
Uzcátegui A., Carlos E. Smooth sets for a Borel equivalence relation. (English) Zbl 0826.03020 Trans. Am. Math. Soc. 347, No. 6, 2025-2039 (1995). MSC: 03E15 54H20 28A05 28D99 54H05 × Cite Format Result Cite Review PDF Full Text: DOI
Weber, Andrzej An isomorphism from intersection homology to \(L_ p\)-cohomology. (English) Zbl 0833.55008 Forum Math. 7, No. 4, 489-512 (1995). Reviewer: J.Chrastina (Brno) MSC: 55N33 58A12 58A25 57R65 57N80 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Ren, Jian-Jian On Hadamard differentiability and its application to \(R\)-estimation in linear models. (English) Zbl 0802.62053 Stat. Decis. 12, No. 1, 1-22 (1994). MSC: 62G20 62G30 62G05 62F35 62J05 × Cite Format Result Cite Review PDF
Kharazishvili, A. B. \(\Gamma\)-topology and the Baire property. (Russian. English summary) Zbl 0870.54039 Soobshch. Akad. Nauk Gruz. 148, No. 1, 21-27 (1993). MSC: 54H15 54H05 × Cite Format Result Cite Review PDF
Nizharadze, G. V. About some geometrical questions of the measure theory and of volume. (English) Zbl 0768.28003 Topological, projective and combinatorial properties of spaces, 35-55 (1992). Reviewer: I.S.Molchanov (Kiev) MSC: 28C10 28A75 × Cite Format Result Cite Review PDF
Dijkstra, Jan J. Characterizing Hilbert space topology in terms of strong negligibility. (English) Zbl 0724.57014 Compos. Math. 75, No. 3, 299-306 (1990). Reviewer: R.Sher (Greensboro) MSC: 57N20 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Dijkstra, J. J.; Dobrowolski, T.; Marciszewski, W.; van Mill, Jan; Mogilski, J. Recent classification and characterization results in geometric topology. (English) Zbl 0713.57011 Bull. Am. Math. Soc., New Ser. 22, No. 2, 277-283 (1990). Reviewer: R.Sher MSC: 57N20 57N15 54C55 × Cite Format Result Cite Review PDF Full Text: DOI
Omiadze, K. T. On absolutely negligible sets. (Russian. English summary) Zbl 0722.28007 Soobshch. Akad. Nauk Gruz. SSR 135, No. 1, 21-23 (1989). Reviewer: Z.G.Gorgadze (Tbilisi) MSC: 28C10 × Cite Format Result Cite Review PDF
Cichon, Jacek On two-cardinal properties of ideals. (English) Zbl 0691.03033 Trans. Am. Math. Soc. 314, No. 2, 693-708 (1989). MSC: 03E15 28A05 × Cite Format Result Cite Review PDF Full Text: DOI
Naniewicz, Z.; Woźniak, Cz. On a quasi-stationary model of debonding processes in layered composites. (English) Zbl 0675.73006 Ing.-Arch. 58, No. 6, 403-412 (1988). Reviewer: M.C.Dökmeci MSC: 74E10 74E30 74S30 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Fremlin, D. H. Measure-additive coverings and measurable selectors. (English) Zbl 0703.28003 Diss. Math. 260, 116 p. (1987). Reviewer: E.Azoff MSC: 28A05 03E15 28B20 × Cite Format Result Cite Review PDF
Dijkstra, Jan J. Strongly negligible sets outside Fréchet manifolds. (English) Zbl 0619.57005 Bull. Lond. Math. Soc. 19, 371-377 (1987). Reviewer: S.Singh MSC: 57N20 54G20 × Cite Format Result Cite Review PDF Full Text: DOI
Tskhadaya, V. T. On the notion of absolutely negligible sets. (Russian. English summary) Zbl 0618.28014 Soobshch. Akad. Nauk Gruz. SSR 123, 489-491 (1986). Reviewer: D.Khavinson MSC: 28C99 × Cite Format Result Cite Review PDF
Dijkstra, Jan; van Mill, Jan Fake topological Hilbert spaces and characterizations of dimension in terms of neglibility. (English) Zbl 0583.57010 Fundam. Math. 125, 143-153 (1985). MSC: 57N20 54F45 55P55 54C56 54C55 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Cegrell, Urban Thin sets in \({\mathbb{C}}^ n\). (English) Zbl 0575.32018 Zesz. Nauk. Uniw. Jagielloń. 715, Pr. Mat. 25, 115-120 (1985). MSC: 32U05 32E20 31C10 × Cite Format Result Cite Review PDF
Singman, David Removable singularities for n-harmonic functions and Hardy classes in polydiscs. (English) Zbl 0548.32008 Proc. Am. Math. Soc. 90, 299-302 (1984). Reviewer: J.A.Cima MSC: 32D20 32D15 31C05 32A35 × Cite Format Result Cite Review PDF Full Text: DOI
Prinz, P. Negligible sets of Radon measures. (English) Zbl 0528.28010 Proc. Am. Math. Soc. 89, 440-444 (1983). MSC: 28C15 54D20 × Cite Format Result Cite Review PDF Full Text: DOI
Bedford, Eric; Taylor, B. A. A new capacity for plurisubharmonic functions. (English) Zbl 0547.32012 Acta Math. 149, 1-40 (1982). Reviewer: J.Siciak MSC: 32U05 31C15 31C10 × Cite Format Result Cite Review PDF Full Text: DOI
Ibragimov, A. I. Some qualitative properties of solutions of second-order parabolic equations with continuous coefficients. (English. Russian original) Zbl 0493.35012 Differ. Equations 18, 246-257 (1982); translation from Differ. Uravn. 18, 306-319 (1982). MSC: 35B65 35K20 35A35 × Cite Format Result Cite Review PDF
Friedman, Harvey; Talagrand, Michel Un ensemble singulier. (French) Zbl 0452.03040 Bull. Sci. Math., II. Ser. 104, 337-340 (1980). MSC: 03E15 03E50 28C10 28A05 × Cite Format Result Cite Review PDF