Lyubomyr Zdomskyy

 

 

Welcome to the homepage of Dr. Lyubomyr Zdomskyy.

I am a postdoctoral researcher at the

Kurt Gödel Research Center for Mathematical Logic
Universität Wien
Währinger Str. 25
1090 Wien, Austria

Tel: +43 1 4277 50521

Email: lyubomyr.zdomskyy at univie.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. Kunen, Kenneth; Medini, Andrea; Zdomskyy, L. Seven characterizations of non-meager P-filters, submitted, November 2013.
  2. Miller, Arnold; Tsaban, Boaz; Zdomskyy, L. Selective covering properties of product spaces, II: gamma spaces, submitted, October 2013.
  3. Friedman, Sy-David; Wu, Liuzhen; Zdomskyy, L. Delta_1-definability of the non-stationary ideal at successor cardinals, submitted, May 2013.
  4. Banakh, Taras; Machura, Michal; Zdomskyy, L. On critical cardinalities related to Q-sets, submitted, February 2014.
  5. Tsaban, Boaz; Zdomskyy, L. Arhangel'ski sheaf amalgamations in topological groups, preprint, March 2011.

  6.  
  7. Miller, Arnold; Tsaban, Boaz; Zdomskyy, L. Selective covering properties of product spaces, Annals of Pure and Applied Logic, to appear
  8. Repovš, Dušan; Zdomskyy, L.; Zhang, Shuguo. Countable dense homogeneous filters and the Menger covering property, Fundamenta Mathematicae, to appear.
  9. Banakh, Taras; Zdomskyy, L. Non-meager free sets for meager relations on Polish spaces, Proceedings of the American Mathematical Society, to appear.
  10. Repovš, Dušan; Zdomskyy, L. Productively Lindelöf spaces and the covering property of Hurewicz, Topology and its Applications, to appear.
  11. Tsaban, Boaz; Zdomskyy, L. Additivity of the Gerlits-Nagy property and concentrated sets, Proceedings of the American Mathematical Society, to appear.
     
  12. Duanmu, Haosui; Tall, Franklin D.; Zdomskyy, L. Productively Lindelöf and Indestructibly Lindelöf Spaces, Topology and its Applications 160:18 (2013), 2443--2453.
  13. Friedman, Sy-David; Honzik, Radek; Zdomskyy, L. Fusion and large cardinal preservation, Annals of Pure and Applied Logic 164:12 (2013), 1247--1273.
  14. 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.
  15. Fischer, Vera; Friedman, Sy-David; Zdomskyy, L. Cardinal characteristics, projective wellorders and large continuum, Annals of Pure and Applied Logic 164 (2013) 763–770.
  16. Tsaban, Boaz; Zdomskyy, L. Hereditarily Hurewicz spaces and Arhangel'ski sheaf amalgamations, Journal of the European Mathematical Society 14:2 (2012), 353--372.
  17. Repovš, Dušan; Zdomskyy, L. On the Menger covering property and D-spaces, Proceedings of the American Mathematical Society 140:3 (2012), 1069--1074.
  18. 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
  19. 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.
  20. 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.
  21. Gruenhage, Gary; Tsaban, Boaz; Zdomskyy, L. Sequential properties of function spaces with the compact-open topology, Topology and its Applications 158 (2011), 387--391.
  22. Repovš, Dušan; Zdomskyy, L. On M-separability of countable spaces and function spaces, Topology and its Applications 157 (2010), 2538-2541.
  23. Banakh, Taras; Zdomskyy, L. Closed locally path-connected subspaces of finite-dimensional groups are locally compact, Topology Proceedings 36 (2010), 399-405.
  24. Friedman, Sy-David; Zdomskyy, L. Projective mad families, Annals of Pure and Applied Logic 161 (2010), 1581–1587
  25. Friedman, Sy-David; Zdomskyy, L. Measurable cardinals and the Cofinality of the Symmetric Group, Fundamenta Mathematicae 207 (2010), 101--122.
  26. Repovš, Dušan; Zdomskyy, L. A new Lindelof topological group, Topology and its Applications 157 (2010), 990--996.
  27. Banakh, Taras; Repovš, Dušan; Zdomskyy, L. o-Boundedness of free topological groups, Topology and its Applications 157 (2010), 466--481.
  28. Mildenberger, Heike; Zdomskyy, L. L-spaces and the P-ideal dichotomy, Acta Mathematica Hungarica 125 (2009), 85--97.
  29. Tsaban, Boaz; Zdomskyy, L. On the Pytkeev property in spaces of continuous functions (II), Houston Journal of Mathematics 35:2 (2009), 563--571.
  30. Tsaban, Boaz; Zdomskyy, L. Combinatorial images of sets of reals and semifilter trichotomy. Journal of Symbolic Logic 73:4 (2008), 1278--1288.
  31. Banakh, Taras; Zdomskyy, L. Separation properties between sigma-compactness and the Hurewicz property, Topology and its Applications 156 (2008), 10--15.
  32. Repovš, Dušan; Tsaban, Boaz; Zdomskyy, L. Continuous selections and sigma-spaces, Topology and its Applications 156 (2008), 104--109.
  33. Tsaban, Boaz; Zdomskyy, L. Scales, Fields, and a problem of Hurewicz, Journal of the European Mathematical Society 10 (2008), 837--866.
  34. Banakh, Taras; Repovš Dušan; Zdomskyy, L. Frechet-Urysohn fans in free topological groups, Journal of Pure and Applied Algebra 212 (2008), 2105--2114.
  35. Repovš, Dušan; Tsaban, Boaz; Zdomskyy, Lyubomyr: Hurewicz sets of reals without perfect subsets. Proceedings of the American Mathematical Society 136:7 (2008), 2515-2520.
  36. 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.
  37. 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.
  38. Tsaban, Boaz; Zdomskyy, Lyubomyr. Menger's covering property and groupwise density, Journal of Symbolic Logic 71:3 (2006), 1053--1056.
  39. Zdomskyy, L. S. $o$-boundedness of free objects over a Tychonoff space, Matematychni Studii 25:1 (2006), 10--28.
  40. Zdomskyy, L. S. Can a Borel group be generated by a Hurewicz subspace? Matematychni Studii 25:2 (2006), 219--224
  41. Zdomskyy, Lyubomyr. A semifilter approach to selection principles. II. Tau*-covers, Commentationes Mathematicae Universitatis Carolinae 47:3 (2006), 539--547.
  42. Zdomskyy, L. A semifilter approach to selection principles, Commentationes Mathematicae Universitatis Carolinae 46:3 (2005), 525--539.
  43. Zdomskyy, L. S. A characterization of the Menger and Hurewicz properties of subspaces of the real line, Mathematychni Studii 24:2 (2005), 115--119.
  44. 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.
  45. Banakh, Taras; Pidkuyko, Serhij ; Zdomskyy, L. How many convergent sequences is necessary to detect discontinuity? Naukovi Zapysky NTSh. 1 (2004), 13--24. (in Ukrainian)
  46. Banakh, Taras; Zdomskyy, L. The topological structure of (homogeneous) spaces and groups with countable cs*-character. Applied General Topology 5:1 (2004), 25--48.
  47. 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

  1. Axiomatic set theory 1. Proseminar. Summer semester 2014. Exercises
  2. Axiomatic set theory 1. Summer semester 2012.