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M. Balcerzak, M. Popławski, and A. Wachowicz, Ideal convergent subsequences and rearrangements for divergent sequences of functions, Math. Slovaca 67 (2017), no. 6, 1461–1468
P. Klinga and A. Nowik, Extendability to summable ideals, Acta Math. Hungar. 152 (2017), no. 1, 150–160.
M. Balcerzak, S. Głąb, and J. Swaczyna, Ideal invariant injections, J. Math. Anal. Appl. 445 (2017), no. 1, 423–442.
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M. Balcerzak,S. Głąb, A. Wachowicz, Qualitative properties of ideal convergent subsequences and rearrangements, Acta Math. Hungar. 150 (2016), no. 2, 312–323.
S. Głąb and M. Olczyk, Convergence of Series on Large Set of Indices, Math. Slovaca 65 (2015), no. 5, 1095-1106.
A. Bartoszewicz, P. Das, and S. Głąb, On matrix summability of spliced sequences and A-density of points, Linear Algebra Appl. 487 (2015), 22-42.
M. Balcerzak, P. Das, M. Filipczak, and J. Swaczyna, Generalized kinds of density and the associated ideals, Acta Math. Hungar. 147 (2015), no. 1, 97-115.
P. Das, M. Sleziak, and V. Toma, IK-Cauchy functions, Topology Appl. 173 (2014), 9-27.
M. Balcerzak and K. Musiał, A convergence theorem for the Birkhoff integral, Funct. Approx. Comment. Math. 50 (2014), no. 1, 161-168.
A. Boccuto and X. Dimitriou, Modes of ideal continuity of l-group-valued measures, Int. Math. Forum 8 (2013), no. 17-20, 841-849.
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B. Tsaban and L. Zdomskyy, Hereditarily Hurewicz spaces and Arhangelskii sheaf amalgamations, J. Eur. Math. Soc. (JEMS) 14 (2012), no. 2, 353-372.
M. Macaj and M. Sleziak, IK-convergence, Real Anal. Exchange 36 (2010/11), no. 1, 177-193.
M. Hrusak, Combinatorics of filters and ideals, Set theory and its applications, Contemp. Math., vol. 533, Amer. Math. Soc., Providence, RI, 2011, pp. 29-69.
L. Drewnowski and I. Labuda, Solid sequence F -spaces of L0-type over submeasures on N, Illinois J. Math. 53 (2009), no. 2, 623-678.
L. Matejicka, Some remarks on I-faster convergent infinite series, Math. Bohem. 134 (2009), no. 3, 275-284.
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P. Klinga and A. Nowik, Extendability to summable ideals, Acta Math. Hungar. 152 (2017), no. 1, 150–160.
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R. Wituła, Certain multiplier version of the Riemann derangement theorem, Demonstr. Math. 47 (2014), no. 1, 125-129.
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T. Bermudez and A. Martinon, Changes of signs in conditionally convergent series on a small set, Appl. Math. Lett. 24 (2011), no. 11, 1831-1834.
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[pdf] M. Balcerzak, M. Filipczak, Ideal convergence of sequences and some of its applications. Folia Math. 19 (2017), no. 1, 3–8.
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M. Balcerzak, P. Das, M. Filipczak, and J. Swaczyna, Generalized kinds of density and the associated ideals, Acta Math. Hungar. 147 (2015), no. 1, 97-115.
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[arXiv, pdf] A. K. Banerjee, N. Hossain, On I and I∗-equal convergence in linear 2-normed spaces
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A. Bartoszewicz, P. Das, and S. Głąb, On matrix summability of spliced sequences and A-density of points, Linear Algebra Appl. 487 (2015), 22-42.
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[pdf, doi] On some questions of Drewnowski and Łuczak concerning submeasures on N, J. Math. Anal. Appl. 371 (2010), no. 2, 655-660 (with P. Szuca)
[arXiv] L. Drewnowski, Nonatomic submeasures on N and the Banach space l_1 (2021)
[doi] K. Bose, P. Das, S. Sengupta, On spliced sequences and the density of points with respect to a matrix constructed by using a weight function. Ukraïn. Mat. Zh. 71 (2019), no. 9, 1192–1207; reprinted in Ukrainian Math. J. 71 (2020), no. 9, 1359–1378
[doi, pdf] P. Das, K. Bose, S. Sengupta, On IA-Density of Points and Some of its Consequences, Filomat 31 (2017), no. 20, 6585-6595.
S. Głąb and M. Olczyk, Convergence of Series on Large Set of Indices, Math. Slovaca 65 (2015), no. 5, 1095-1106.
A. Bartoszewicz, P. Das, and S. Głąb, On matrix summability of spliced sequences and A-density of points, Linear Algebra Appl. 487 (2015), 22-42.
T. Natkaniec and J. Wesołowska, Sets of ideal convergence of sequences of quasi-continuous functions, J. Math. Anal. Appl. 423 (2015), no. 2, 924-939.
[pdf, doi] On the difference property of Borel measurable and (s)-measurable functions, Acta Math. Hungar. 96 (2002), no. 1-2, 21-25 (with I. Recław)
H. Fujita and T. Matrai, On the difference property of Borel measurable functions, Fund. Math. 208 (2010), no. 1, 57-73.
H. Fujita, Remarks on two problems by M. Laczkovich on functions with Borel measurable differences, Acta Math. Hungar. 117 (2007), no. 1-2, 153-160.
K. Ciesielski and J. Pawlikowski, Nice Hamel bases under the covering property axiom, Acta Math. Hungar. 105 (2004), no. 3, 197-213.
K. Ciesielski and J. Pawlikowski, The covering property axiom, CPA, Cambridge Tracts in Mathematics, vol. 164, Cambridge University Press, Cambridge, 2004.
M. Laczkovich, The difference property, Paul Erdos and his mathematics, I (Budapest, 1999), Bolyai Soc. Math. Stud., vol. 11, Janos Bolyai Math. Soc., Budapest, 2002, pp. 363-410.
[pdf] Ideal convergence, a chapter in the monograph Traditional and present-day topics in real analysis, Łódź University Press, 2013, Editors: M. Filipczak, E. Wagner-Bojakowska (with T. Natkaniec and P. Szuca) [Cover and table of contents of the book]
[arXiv, pdf] P. Das, A. Ghosh, When ideals properly extend the class of Arbault sets, arXiv:2401.02103
[doi] P. Das, A. Ghosh, Eggleston’s dichotomy for characterized subgroups and the role of ideals, Ann. Pure Appl. Logic (2023), 103289
[doi] P. Das, Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements, Axioms 2022, 11(1).
[doi] M. Staniszewski, On ideal equal convergence II, J. Math. Anal. Appl. 451 (2017), no. 2, 1179–1197
[pdf] M. Balcerzak, M. Filipczak, Ideal convergence of sequences and some of its applications. Folia Math. 19 (2017), no. 1, 3–8.
[pdf, doi] Representation of ideal convergence as a union and intersection of matrix summability methods, J. Math. Anal. Appl. 484 (2020), no. 2, 123760 (with J. Tryba)
[arXiv, pdf] A. Marton, J. Supina, On P-like ideals induced by disjoint families, arXiv:2212.07260 [math.GN]
[pdf, arXiv] P. Leonetti, C. Orhan, On some locally convex FK spaces, arXiv:2205.15048 .
[doi] P. Das, Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements, Axioms 2022, 11(1).
[pdf, doi] On some properties of Hamel bases and their applications to Marczewski measurable functions, Cent. Eur. J. Math. 11 (2013), no. 3, 487-508 (with F. Dorais and T. Natkaniec)
[doi] N.H. Bingham, E. Jabłońska, W. Jabłoński, A. Ostaszewski On Subadditive Functions Bounded Above on a “Large” Set, Results Math 75, 58 (2020)
A. B. Kharazishvili, Set Theoretical Aspects of Real Analysis, Monographs and Research Notes in Mathematics, Taylor & Francis, 2014.
N. H. Bingham and A. J. Ostaszewski, The Steinhaus theorem and regular variation: de Bruijn and after, Indag. Math. (N.S.) 24 (2013), no. 4, 679-692.
[pdf, doi] Coincidence of PTPN22 c.1858CC and FCRL3 -169CC genotypes as a biomarker of preserved residual β-cell function in children with type 1 diabetes, Pediatric Diabetes 18 (2017), no. 8, 696-705 (with M. Pawłowicz, G. Krzykowski, A. Stanisławska-Sachadyn, L. Morzuch, J. Kulczycka, A. Balcerska, J. Limon)
[doi] R. Žak, L. Navasardyan, J. Hunák, J. Martinů, P. Heneberg, PTPN22 intron polymorphism rs1310182 (c.2054-852T>C) is associated with type 1 diabetes mellitus in patients of Armenian descent
[doi] G. Huraib, F. Harthi, M. Arfin, A. Al-Asmari, The Protein Tyrosine Phosphatase Non-Receptor Type 22 (PTPN22) Gene Polymorphism and Susceptibility to Autoimmune Diseases, a chapter in The Recent Topics in Genetic Polymorphisms, (2020).
[doi] M. Z. Haider, M. A. Rasoul, M. Al-Mahdi, H. Al-Kandari, G. S. Dhaunsi, Association of protein tyrosine phosphatase non-receptor type 22 gene functional variant C1858T, HLA-DQ/DR genotypes and autoantibodies with susceptibility to type-1 diabetes mellitus in Kuwaiti Arabs, PLoS ONE 13(6): e0198652, (2018)
[pdf, doi] Extending the ideal of nowhere dense subsets of rationals to a P-ideal, Comment. Math. Univ. Carolin. 54 (2013), no. 3, 429-435 (with N. Mrożek, I. Recław and P. Szuca)
[pdf, doi] There are measurable Hamel functions, Real Anal. Exchange 36 (2010/2011), no. 1, 223-230 (with A. Nowik and P. Szuca)
T. Natkaniec, An example of a quasi-continuous Hamel function, Real Anal. Exchange 36 (2010/11), no. 1, 231-236.
G. Matusik and T. Natkaniec, Algebraic properties of Hamel functions, Acta Math. Hungar. 126 (2010), no. 3, 209-229.
[pdf, doi] Algebraic sums of sets in Marczewski-Burstin algebras, Real Anal. Exchange 31 (2005/2006), no. 1, 133-142 (with F. Dorais)
A. B. Kharazishvili, Set Theoretical Aspects of Real Analysis, Monographs and Research Notes in Mathematics, Taylor & Francis, 2014.
M. Kysiak, Nonmeasurable algebraic sums of sets of reals, Colloq. Math. 102 (2005), no. 1, 113-122.
[pdf, doi] On the difference property of the family of functions with the Baire property, Acta Math. Hungar. 100 (2003), no. 1-2, 97-104
T. Matrai, Weak difference property of functions with the Baire property, Fund. Math. 177 (2003), no. 1, 1-17.
M. Laczkovich, The difference property, Paul Erdos and his mathematics, I (Budapest, 1999), Bolyai Soc. Math. Stud., vol. 11, Janos Bolyai Math. Soc., Budapest, 2002, pp. 363-410.
[pdf, doi] On Hindman spaces and the Bolzano-Weierstrass property, Topology Appl. 160 (2013), no. 15, 2003-2011
[pdf, doi] The reaping and splitting numbers of nice ideals, Colloq. Math. 134 (2014), no. 2, 179-192
[pdf, doi] Densities for sets of natural numbers vanishing on a given family, J. of Number Theory 211 (2020), 371-382 (with J. Tryba)
[pdf, doi] A note on nonregular matrices and ideals associated with them, Colloq. Math. 159 (2020), no. 1, 29-45 (with P. Das and J. Tryba)
[doi] M. Balcerzak and P. Leonetti, A Tauberian theorem for ideal statistical convergence, Indag. Math. (N.S.) 31 (2020), no. 1, 83–95.
[pdf, doi] Convergence in van der Waerden and Hindman spaces, Topology Appl. 178 (2014), 438-452 (with J. Tryba)
[arXiv, PDF] A unified approach to Hindman, Ramsey and van der Waerden spaces (with K. Kowitz and A. Kwela)
[arxiv] C. Corral, O. Guzmán, C. López-Callejas, P. Memarpanahi, P. Szeptycki, S. Todorčevic, Infinite dimensional sequential compactness: Sequential compactness based on barriers, arXiv:2309.04397