All manuscripts are available at arXiv

Preprints

  1. S. Bardyla, J. Cancino, V. Fisher, C. Switzer: "Filters, ideal independence and ideal Mrowka spaces."
  2. S. Bardyla, J. Šupina, L. Zdomskyy: "Open filters and large cardinals."
  3. T. Banakh, S. Bardyla: "Subgroups of categorically closed semigroups".

List of Publications
  1. S. Bardyla, L. Elliott, J. D. Mitchell and Y. Péresse: "Topological embeddings into transformation monoids", Forum Mathematicum (2024), published online.
  2. T. Banakh, S. Bardyla: "Absolutely closed semigroups", Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118 (2024), 23.
  3. T. Banakh, S. Bardyla, A. Ravsky: "Embeddings into countably compact Hausdorff spaces", Ukrainian Mathematical Journal 75 (2024), 1178–1189.
  4. S. Bardyla, J. Šupina, L. Zdomskyy: "Ideal approach to convergence in functional spaces", Trans. Amer. Math. Soc. 376 (2023), 8495--8528.
  5. S. Bardyla, F. Maesano, L. Zdomskyy: "Selective separability properties of Fréchet-Urysohn spaces and their products", Fundamenta Mathematicae 263:3 (2023), 271--299.
  6. T. Banakh, S. Bardyla: "Categorically closed countable semigroups", Forum Mathematicum, 35:3 (2023), 689--711.
  7. S. Bardyla: "On topological McAlister semigroups", J. Pure Appl. Algebra 227:4 (2023), 107274.
  8. S. Bardyla, L. Zdomskyy: "On regular separable countably compact $\mathbb{R}$-rigid spaces",
    Israel Journal of Mathematics 255 (2023), 783--810.
  9. T. Banakh, S. Bardyla: "Characterizing categorically closed commutative semigroups", Journal of Algebra 591 (2022), 84--110.
  10. S. Bardyla, A. Osipov: "On regular $\kappa$-bounded spaces admitting only constant continuous mappings into $T_1$ spaces of pseudo-character $\leq \kappa$", Acta Math. Hung. 163 (2021), 323--333.
  11. T. Banakh, S. Bardyla, O. Gutik: "The Lawson number of a semitopological semilattice", Semigroup Forum 103 (2021), 24--37.
  12. T. Banakh, S. Bardyla: "Complete topologized posets and semilattices", Topology Proceedings 57 (2021), 177--196.
  13. I. Banakh, T. Banakh, S. Bardyla: "A semigroup is finite if and only if it is chain-finite and antichain-finite", Axioms 10:1 (2021), 9.
  14. S. Bardyla, A. Ravsky, L. Zdomskyy: "A countably compact topological group with the non-countably pracompact square", Topology Appl. 279 (2020), 107251.
  15. S. Bardyla: "On universal objects in the class of graph inverse semigroups", Eur. J. Math. 6 (2020), 4--13.
  16. T. Banakh, S. Bardyla, A. Ravsky: "Embedding topological spaces into Hausdorff $\kappa$-bounded spaces", Topology Appl. 280 (2020), 107277.
  17. T. Banakh, S. Bardyla: "On images of complete topologized subsemilattices in sequential semitopological semilattices", Semigroup Forum 100 (2020), 662--670.
  18. S. Bardyla: "Embedding of graph inverse semigroups into CLP-compact topological semigroups" ,
    Topology Appl. 272 (2020), 107058.
  19. S. Bardyla, A. Ravsky: "Closed subsets of compact-like topological spaces", Applied General Topology, 21:2 (2020), 201--214.
  20. S. Bardyla, O. Gutik: "On the lattice of weak topologies on the bicyclic monoid with adjoined zero"
    Alg. Discr. Math. 30:1 (2020), 26--43.
  21. T. Banakh, S. Bardyla, A. Ravsky: "A metrizable Lawson semitopological semilattice with non-closed partial order", Proc. Intern. Geom. Center 13:3 (2020), 10--17.
  22. T. Banakh, S. Bardyla, I. Guran, O. Gutik, A. Ravsky: "Positive answers to Koch's problem in special cases", Topol. Alg. Appl. 8:1 (2020), 76--87.
  23. T. Banakh, S. Bardyla, A. Ravsky: "A metrizable semitopological semilattice with non-closed partial order", Topol. Alg. Appl. 8:1 (2020), 67--75.
  24. T. Banakh, S. Bardyla, A. Ravsky: "The closedness of complete subsemilattices in functionally Hausdorff semitopological semilattices", Topology Appl. 267 (2019), 106874.
  25. S. Bardyla: "On locally compact topological graph inverse semigroups" , Topology Appl. 267 (2019), 106873.
  26. T. Banakh, S. Bardyla: "Characterizing chain-compact and chain-finite topological semilattices",
    Semigroup Forum 98:2 (2019), 234--250.
  27. T. Banakh, S. Bardyla: "Completeness and absolute H-closedness of topological semilattices",
    Topology Appl. 260 (2019), 189--202.
  28. S. Bardyla: "An alternative look at the structure of graph inverse semigroups", Mat. Stud. 51:1 (2019), 3--11.
  29. T. Banakh, S. Bardyla: "The interplay between weak topologies on topological semilattices" , Topology Appl. 259 (2019), 134--154.
  30. S. Bardyla: "On locally compact semitopological graph inverse semigroups", Mat. Stud. 49:1 (2018), 19--28.
  31. S. Bardyla: "On locally compact shift-continuous topologies on the alpha-bicyclic monoid", Topol. Alg. Appl. 6:1 (2018), 34--42.
  32. S. Bardyla, O. Gutik, O.Ravsky: "H-closed quasitopological groups", Topology Appl. 217 (2017), 51--58.
  33. S. Bardyla: "On semitopological alpha-bicyclic monoid", Visn. Lviv. Univ. 81 (2016), 9--22.
  34. S. Bardyla: "Classifying locally compact semitopological polycyclic monoids", Math. Bull. Shev. Sci. Soc. 13 (2016), 13--28.
  35. S. Bardyla, O. Gutik: "On a complete topological inverse polycyclic monoid", Carp. Math. Publ. 8:2 (2016), 183--194.
  36. S. Bardyla, O. Gutik: "On a semitopological polycyclic monoid", Alg. Discr. Math. 21:2 (2016), 163--183.
  37. S. Bardyla, O. Gutik: "On H-complete topological semilattices", Mat. Stud. 38:2 (2012), 118--123.