Lyubomyr Zdomskyy

  

 

Welcome to the homepage of Lyubomyr Zdomskyy.

I am a postdoctoral researcher at the

Institute of Discrete Mathematics and Geometry
 Forschungsbereich 8
TU Wien
 Wiedner Hauptstraße 8–10/104
1040 Wien, Austria

Email: lyubomyr.zdomskyy at tuwien.ac.at

 Ostern
       
       
       
  1. My CV
  2. My Ph.D. thesis: Local and combinatorial properties of topological groups. (In Ukrainian.) Written under the supervision of Taras Banakh in Lviv University.

Publications

  1. Bonanzinga, Maddalena; Giacopello, Davide; Spadaro, Santi; Zdomskyy, L. On some recent selective properties involving networks, submitted.
  2. Szewczak, Piotr; Weiss, Tomasz; Zdomskyy, L. Small Hurewicz and Menger sets which have large continuous images, submitted.
  3. Haberl, Valentin; Szewczak, Piotr; Zdomskyy, L. Menger and consonant sets in the Sacks model, submitted.
  4. Sobota, Damian; Zdomskyy, L. Construction under Martin's axiom of a Boolean algebra with the Grothendieck property but without the Nikodym property, preliminary version.
  5. Bardyla, Serhii; Nyikos, Peter; Zdomskyy, L. Countably compact extensions and cardinal characteristics of the continuum, submitted.
  6. Bardyla, Serhii; Šupina, Jaroslav; Zdomskyy, L. Open filters and measurable cardinals, submitted.

    7.  
  7. Agostini, Claudio; Medini, Andrea; Zdomskyy, L. Countable spaces, realcompactness, and the pseudointersection number, Journal of Symbolic Logic, to appear.
  8. Repovš, Dušan; Zdomskyy, L. Interplay between productively Menger and productively Hurewicz spaces in models of b=d, Topology and its Applications, to appear.
  9. Haberl, Valentin; Szewczak, Piotr; Zdomskyy, L. Concentrated sets in the Miller model, Topology and its Applications, to appear.
  10. Marciszewski, Witold; Sobota, Damian; Zdomskyy, L. On sequences of finitely supported measures related to the Josefson--Nissenzweig theorem, Topology and its Applications, to appear.

    11.  
  11. Kakol, Jerzy; Sobota, Damian; Zdomskyy, L. On complementability of c_0 in spaces C_p(K×L), Proceedings of the American Mathematical Society 152:9 (2024), 3777--3784.
  12. Sobota, Damian; Zdomskyy, L. Convergence of measures after adding a real, Archive for Mathematical Logic 63 (2024), 135--162.
  13. Nyikos, Peter; Zdomskyy, L. Locally compact, w_1-compact spaces, Annals of Pure and Applied Logic 175:1 (2024), Paper No. 103324, 17 pp..
  14. Repovš, Dušan; Molica Bisci, Giovanni; Zdomskyy, L. Coideals as remainders of groups distinguishing between combinatorial covering properties, Topology and its Applications 340 (2023), Paper No. 108725, 15pp.
  15. Bardyla, Serhii; Šupina, Jaroslav; Zdomskyy, L. Ideal approach to convergence in functional spaces, Transactions of the American Mathematical Society 376:12 (2023), 8495--38528.
  16. Bardyla, Serhii; Maesano, Fortunato; Zdomskyy, L. Selective separability properties of Fréchet-Urysohn spaces and their products, Fundamenta Mathematicae 263:3 (2023), 271--299.
  17. Kakol, Jerzy; Sobota, Damian; Zdomskyy, L. Grothendieck C(K)-spaces and the Josefson--Nissenzweig theorem, Fundamenta Mathematicae 263:2 (2023), 105--131.
  18. Bardyla, Serhii; Zdomskyy, L. On regular separable countably compact R-rigid spaces, Israel Journal of Mathematics 255 (2023), 783--810.
  19. Sobota, Damian; Zdomskyy, L. Minimally generated Boolean algebras and the Nikodym property, Topology and its Applications 323 (2023), Paper No. 108298, 23 pp.
  20. Kakol, Jerzy; Marciszewski, Witold; Sobota, Damian; Zdomskyy, L. On complemented copies of the space c_0 in spaces C_p(X×Y), Israel Journal of Mathematics 250 (2022), 139--177.
  21. Repovš, Dušan; Zdomskyy, L. On well-splitting posets, Archive for Mathematical Logic 61 (2022), 995--1005.
  22. Farkas, Barnabás; Zdomskyy, L. Ways of Destruction, Journal of Symbolic Logic 87:3 (2022), 938--966.
  23. Szewczak, Piotr; Tsaban, Boaz, Zdomskyy, L. Finite powers and products of Menger sets, Fundamenta Mathematicae 253 (2021), 257--275.
  24. Zdomskyy, L. Bredle's proof of the consistency of b< a, without ranks, games, and Cohen reals, Visnyk of the Lviv University. Series Mechanics and Mathematics 89 (2020), 5--10.
  25. Zdomskyy, L. Selection Principles in the Laver, Miller, and Sacks models, Centenary of the Borel Conjecture, 229–242, Contemp. Math., 755, Amer. Math. Soc., Providence, RI, 2020.
  26. Repovš, Dušan; Zdomskyy, L. M-separable spaces of functions are productive in the Miller model, Annals of Pure and Applied Logic 171 (2020), 102806, 8 pp.
  27. Bardyla, Serhii; Ravsky, Alex; Zdomskyy, L. A countably compact topological group with the non-countably pracompact square, Topology and its Applications 279 (2020), 107251, 7 pp.
  28. Aurichi, Leandro; Zdomskyy, L. Covering properties of w-mad families, Archive for Mathematical Logic 59 (2020), 445--452.
  29. Repovš, Dušan; Zdomskyy, L. Preservation of gamma-spaces and covering properties of products, Proceedings of the American Mathematical Society 147:11 (2019), 4979--4985.
  30. Sobota, Damian; Zdomskyy, L. Convergence of measures in forcing extensions, Israel Journal of Mathematics 232:2 (2019), 501--529.
  31. Tall, Franklin D.; Zdomskyy, L. Completely Baire spaces, Menger spaces, and projective sets, Topology and its Applications 258 (2019), 26--31.
  32. Zdomskyy, L. Products of Menger spaces in the Miller model, Advances in Mathematics 335 (2018), 170–179.
  33. Medini, Andrea; van Mill, Jan; Zdomskyy, L. Infinite powers and Cohen reals, Canadian Mathematical Bulletin 61 (2018), 812--821.
  34. Aurichi, Leandro; Zdomskyy, L. Internal characterizations of productively Lindelöf spaces, Proceedings of the American Mathematical Society 146 (2018), 3615--3626.
  35. Repovš, Dušan; Zdomskyy, L. Products of H-separable spaces in the Laver model, Topology and its Applications 239 (2018), 115--119.
  36. Repovš, Dušan; Zdomskyy, L. Products of Hurewicz spaces in the Laver model, Bulletin of Symbolic Logic 23:3 (2017), 324--333.
  37. Medini, Andrea; Zdomskyy, L. Productively Lindelöf spaces of countable tightness, Houston Journal of Mathematics 43:4 (2017), 1263--1272.
  38. Gabriyelyan, Saak; Grebik, Jan; Kakol, Jerzy; Zdomskyy, L. Topological properties of function spaces over ordinals, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas 111:4 (2017), 1157--1161.
  39. Sobota, Damian; Zdomskyy, L. The Nikodym property in the Sacks model, Topology and its Applications 230 (2017), 24--34.
  40. Medini, Andrea; Repovš, Dušan; Zdomskyy, L., Non-meager free sets and independent families, Proceedings of the American Mathematical Society 145:9 (2017), 4061--4073.
  41. Gabriyelyan, Saak; Kakol, Jerzy; Zdomskyy, L. On topological properties of the weak topology of a Banach space, Journal of Convex Analysis 24 (2017), 571--586.
  42. Gabriyelyan, Saak; Grebik, Jan; Kakol, Jerzy; Zdomskyy, L. The Ascoli property for function spaces, Topology and its Applications 214 (2016) 35--50.
  43. Medini, Andrea; Zdomskyy, L., Every filter is homeomorphic to its square, Bulletin of the Polish Academy of Sciences (Mathematics) 64 (2016), 63--67.
  44. Medini, Andrea; van Mill, Jan; Zdomskyy, L. A homogeneous space whose complement is rigid, Israel Journal of Mathematics 214 (2016), 583--595.
  45. Bella, Angelo; Tokgoz, Secil; Zdomskyy, L. Menger remainders of topological groups, Archive for Mathematical Logic 55 (2016), 767--784.
  46. Miller, Arnold; Tsaban, Boaz; Zdomskyy, L. Selective covering properties of product spaces, II: gamma spaces, Transactions of the American Mathematical Society 368 (2016), 2865--2889.
  47. Tsaban, Boaz; Zdomskyy, L. Arhangel'ski sheaf amalgamations in topological groups, Fundamenta Mathematicae 232 (2016), 281--294.
  48. Aurichi, Leandro; Spadaro,Santi; Zdomskyy, L. Selective versions of chain condition-type properties, Acta Mathematica Hungarica 148 (2016), 1--16.
  49. David Chodounsky; Repovš, Dušan; Zdomskyy, L. Mathias forcing and combinatorial covering properties of filters, Journal of Symbolic Logic 80 (2015), 1398--1410.
  50. Kunen, Kenneth; Medini, Andrea; Zdomskyy, L. Seven characterizations of non-meager P-filters, Fundamenta Mathematicae 231 (2015), 189--208.
  51. Banakh, Taras; Zdomskyy, L. Non-meager free sets for meager relations on Polish spaces, Proceedings of the American Mathematical Society 143 (2015), 2719--2724.
  52. Friedman, Sy-David; Wu, Liuzhen; Zdomskyy, L. Delta_1-definability of the non-stationary ideal at successor cardinals, Fundamenta Mathematicae 229 (2015), 231--254.
  53. Medini, Andrea; Zdomskyy, L. Between Polish and completely Baire, Archive for Mathematical Logic 54 (2015), 231--245.
  54. Banakh, Taras; Machura, Michal; Zdomskyy, L. On critical cardinalities related to Q-sets, Mathematical Bulletin of the Shevchenko Scientific Society 11 (2014), 21--32.
  55. Repovš, Dušan; Zdomskyy, L.; Zhang, Shuguo. Countable dense homogeneous filters and the Menger covering property, Fundamenta Mathematicae 224 (2014), 233--240.
  56. Miller, Arnold; Tsaban, Boaz; Zdomskyy, L. Selective covering properties of product spaces, Annals of Pure and Applied Logic 165 (2014), 1034-1057.
  57. Repovš, Dušan; Zdomskyy, L. Productively Lindelöf spaces and the covering property of Hurewicz, Topology and its Applications 169 (2014), 16--20.
  58. Tsaban, Boaz; Zdomskyy, L. Additivity of the Gerlits-Nagy property and concentrated sets, Proceedings of the American Mathematical Society 142 (2014), 2881--2890.
  59. Duanmu, Haosui; Tall, Franklin D.; Zdomskyy, L. Productively Lindelöf and Indestructibly Lindelöf Spaces, Topology and its Applications 160:18 (2013), 2443--2453.
  60. Friedman, Sy-David; Honzik, Radek; Zdomskyy, L. Fusion and large cardinal preservation, Annals of Pure and Applied Logic 164:12 (2013), 1247--1273.
  61. Banakh, Taras; Chervak, Ostap; Zdomskyy, L. On character of points in the Higson corona of a metric space, Commentationes Mathematicae Universitatis Carolinae 54:2 (2013), 159--178.
  62. Fischer, Vera; Friedman, Sy-David; Zdomskyy, L. Cardinal characteristics, projective wellorders and large continuum, Annals of Pure and Applied Logic 164 (2013) 763–770.
  63. Tsaban, Boaz; Zdomskyy, L. Hereditarily Hurewicz spaces and Arhangel'ski sheaf amalgamations, Journal of the European Mathematical Society 14:2 (2012), 353--372.
  64. Repovš, Dušan; Zdomskyy, L. On the Menger covering property and D-spaces, Proceedings of the American Mathematical Society 140:3 (2012), 1069--1074.
  65. Banakh, Taras; Mykhaylyuk, Volodymyr; Zdomskyy, L. On meager function spaces, network character and meager convergence in topological spaces, Commentationes Mathematicae Universitatis Carolinae 52 (2011), 273--281
  66. Fischer, Vera; Friedman, Sy-David; Zdomskyy, L. Projective wellorders and mad families with large continuum, Annals of Pure and Applied Logic 162 (2011), 853--862.
  67. Banakh, Taras; Repovš Dušan; Zdomskyy, L. On the length of chains of proper subgroups covering a topological group, Archive for Mathematical Logic 50 (2011), 411--421.
  68. Gruenhage, Gary; Tsaban, Boaz; Zdomskyy, L. Sequential properties of function spaces with the compact-open topology, Topology and its Applications 158 (2011), 387--391.
  69. Repovš, Dušan; Zdomskyy, L. On M-separability of countable spaces and function spaces, Topology and its Applications 157 (2010), 2538-2541.
  70. Banakh, Taras; Zdomskyy, L. Closed locally path-connected subspaces of finite-dimensional groups are locally compact, Topology Proceedings 36 (2010), 399-405.
  71. Friedman, Sy-David; Zdomskyy, L. Projective mad families, Annals of Pure and Applied Logic 161 (2010), 1581–1587
  72. Friedman, Sy-David; Zdomskyy, L. Measurable cardinals and the Cofinality of the Symmetric Group, Fundamenta Mathematicae 207 (2010), 101--122.
  73. Repovš, Dušan; Zdomskyy, L. A new Lindelof topological group, Topology and its Applications 157 (2010), 990--996.
  74. Banakh, Taras; Repovš, Dušan; Zdomskyy, L. o-Boundedness of free topological groups, Topology and its Applications 157 (2010), 466--481.
  75. Mildenberger, Heike; Zdomskyy, L. L-spaces and the P-ideal dichotomy, Acta Mathematica Hungarica 125 (2009), 85--97.
  76. Tsaban, Boaz; Zdomskyy, L. On the Pytkeev property in spaces of continuous functions (II), Houston Journal of Mathematics 35:2 (2009), 563--571.
  77. Tsaban, Boaz; Zdomskyy, L. Combinatorial images of sets of reals and semifilter trichotomy. Journal of Symbolic Logic 73:4 (2008), 1278--1288.
  78. Banakh, Taras; Zdomskyy, L. Separation properties between sigma-compactness and the Hurewicz property, Topology and its Applications 156 (2008), 10--15.
  79. Repovš, Dušan; Tsaban, Boaz; Zdomskyy, L. Continuous selections and sigma-spaces, Topology and its Applications 156 (2008), 104--109.
  80. Tsaban, Boaz; Zdomskyy, L. Scales, Fields, and a problem of Hurewicz, Journal of the European Mathematical Society 10 (2008), 837--866.
  81. Banakh, Taras; Repovš Dušan; Zdomskyy, L. Frechet-Urysohn fans in free topological groups, Journal of Pure and Applied Algebra 212 (2008), 2105--2114.
  82. Repovš, Dušan; Tsaban, Boaz; Zdomskyy, Lyubomyr: Hurewicz sets of reals without perfect subsets. Proceedings of the American Mathematical Society 136:7 (2008), 2515-2520.
  83. Banakh, Taras; Zdomskyy, L. Coherence of Semifilters: a survey, in: Selection Principles and Covering Properties in Topology (Lj. D.R. Kocinac, ed.), Quaderni di Matematica 18, Dept. Math., Seconda Universita di Napoli, Caserta (2006), 53--99.
  84. Banakh, Taras; Zdomskyy, L. Selection principles and infinite games on multicovered spaces, in: Selection Principles and Covering Properties in Topology (Lj. D.R. Kocinac, ed.), Quaderni di Matematica 18, Dept. Math., Seconda Universita di Napoli, Caserta (2006), 1--51.
  85. Tsaban, Boaz; Zdomskyy, Lyubomyr. Menger's covering property and groupwise density, Journal of Symbolic Logic 71:3 (2006), 1053--1056.
  86. Zdomskyy, L. S. $o$-boundedness of free objects over a Tychonoff space, Matematychni Studii 25:1 (2006), 10--28.
  87. Zdomskyy, L. S. Can a Borel group be generated by a Hurewicz subspace? Matematychni Studii 25:2 (2006), 219--224
  88. Zdomskyy, Lyubomyr. A semifilter approach to selection principles. II. Tau*-covers, Commentationes Mathematicae Universitatis Carolinae 47:3 (2006), 539--547.
  89. Zdomskyy, L. A semifilter approach to selection principles, Commentationes Mathematicae Universitatis Carolinae 46:3 (2005), 525--539.
  90. Zdomskyy, L. S. A characterization of the Menger and Hurewicz properties of subspaces of the real line, Mathematychni Studii 24:2 (2005), 115--119.
  91. Banakh, Taras; Cauty, Robert ; Trushchak, Khrystyna ; Zdomskyy, L. On universality of finite products of Polish spaces, Tsukuba Journal of Mathematics 28:2 (2004), 455--471.
  92. Banakh, Taras; Pidkuyko, Serhij ; Zdomskyy, L. How many convergent sequences is necessary to detect discontinuity? Naukovi Zapysky NTSh. 1 (2004), 13--24. (in Ukrainian)
  93. Banakh, Taras; Zdomskyy, L. The topological structure of (homogeneous) spaces and groups with countable cs*-character. Applied General Topology 5:1 (2004), 25--48.
  94. Banakh, Taras; Zdomskyy, Lyubomyr. Each second countable abelian group is a subgroup of a second countable divisible group. Third International Algebraic Conference in the Ukraine (Ukrainian), 154--159, Natsional. Akad. Nauk Ukraïny, Inst. Mat., Kyiv, 2002.

Teaching at the University of Vienna

  1. Special Topics in Set Theory. Sommer Semester 2022.
  2. Advanced topics in mathematical logic. Sommer Semester 2018.
  3. Reading course in mathematical logic. Winter Semester 2016--2017.
  4. Reading course in set theory. Winter Semester 2015--2016.
  5. UE Grundbegriffe der Mathematischen Logik. Sommer Semester 2015.
  6. Axiomatic set theory 1. Summer semester 2015.
  7. Introduction to Mathematical Logic. Winter semester 2014
  8. Axiomatic set theory 1. Proseminar. Summer semester 2014. Exercises
  9. Axiomatic set theory 1. Summer semester 2012.