Papers
Invited presentations
About me
Preprints
All manuscripts are available at
arXiv
T. Banakh, S. Bardyla:
"Subgroups of categorically closed semigroups"
.
S. Bardyla, J. Šupina, L. Zdomskyy:
"Open filters and measurable cardinals"
.
S. Bardyla, L. Elliott, J. D. Mitchell, Y. Péresse:
"Classifying the Polish semigroup topologies on the symmetric inverse monoid"
.
List of Publications
All manuscripts are available at
arXiv
S. Bardyla, J. Cancino-Manríquez, V. Fisher, C. Bacal Switzer:
"Filters, ideal independence and ideal Mrówka spaces"
, Trans. Amer. Math. Soc. accepted (2025).
S. Bardyla, P. Zlatoš:
"Schur ultrafilters and Bohr compactifications of topological groups"
,
Israel Journal of Mathematics, accepted (2025).
S. Bardyla, B. Novotny, J. Šupina:
"Local and global properties of spaces of minimal usco maps"
,
Journal of Mathematical Analysis and Applications, published online (2025), 129472.
S. Bardyla, P. Nyikos, L. Zdomskyy:
"Countably compact extensions and cardinal characteristics of the continuum"
, The Journal of Symbolic Logic, published online (2025), 1--27.
T. Banakh, S. Bardyla:
"Absolutely closed semigroups"
, RACSAM 118 (2024), 23.
S. Bardyla, L. Elliott, J. D. Mitchell, Y. Péresse:
"Topological embeddings into transformation monoids"
, Forum Mathematicum 36:6 (2024), 1537--1554.
T. Banakh, S. Bardyla, A. Ravsky:
"Embeddings into countably compact Hausdorff spaces"
,
Ukr. Math. J. 75 (2024), 1178--1189.
S. Bardyla, J. Šupina, L. Zdomskyy:
"Ideal approach to convergence in functional spaces"
,
Trans. Amer. Math. Soc. 376 (2023), 8495--8528.
S. Bardyla, F. Maesano, L. Zdomskyy:
"Selective separability properties of Fréchet-Urysohn spaces and their products"
, Fundamenta Mathematicae 263 (2023), 271--299.
T. Banakh, S. Bardyla:
"Categorically closed countable semigroups"
,
Forum Mathematicum 35:3 (2023), pp. 689--711.
S. Bardyla:
"On topological McAlister semigroups"
, J. Pure Appl. Algebra 227:4 (2023), 107274.
S. Bardyla, L. Zdomskyy:
"On regular separable countably compact $\mathbb{R}$-rigid spaces"
,
Israel Journal of Mathematics 255, (2023), 783--810.
T. Banakh, S. Bardyla:
"Characterizing categorically closed commutative semigroups"
,
Journal of Algebra 591 (2022), 84--110.
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.
T. Banakh, S. Bardyla, O. Gutik:
"The Lawson number of a semitopological semilattice"
,
Semigroup Forum 103 (2021), 24--37.
T. Banakh, S. Bardyla:
"Complete topologized posets and semilattices"
,
Topology Proceedings 57 (2021), 177--196.
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.
S. Bardyla, A. Ravsky, L. Zdomskyy:
"A countably compact topological group with the non-countably pracompact square"
, Topology Appl. 279 (2020), 107251.
S. Bardyla:
"On universal objects in the class of graph inverse semigroups"
, Eur. J. Math. 6 (2020), 4--13.
T. Banakh, S. Bardyla, A. Ravsky:
"Embedding topological spaces into Hausdorff $\kappa$-bounded spaces"
, Topology Appl. 280 (2020), 107277.
T. Banakh, S. Bardyla:
"On images of complete topologized subsemilattices in sequential semitopological semilattices"
, Semigroup Forum 100 (2020), 662--670.
S. Bardyla:
"Embedding of graph inverse semigroups into CLP-compact topological semigroups"
,
Topology Appl. 272 (2020), 107058.
S. Bardyla, A. Ravsky:
"Closed subsets of compact-like topological spaces"
, Applied General Topology, 21:2 (2020), 201--214.
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.
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.
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.
T. Banakh, S. Bardyla, A. Ravsky:
"A metrizable semitopological semilattice with non-closed partial order"
, Topol. Alg. Appl. 8:1 (2020), 67--75.
T. Banakh, S. Bardyla, A. Ravsky:
"The closedness of complete subsemilattices in functionally Hausdorff semitopological semilattices"
, Topology Appl. 267 (2019), 106874.
S. Bardyla:
"On locally compact topological graph inverse semigroups"
, Topology Appl. 267 (2019), 106873.
T. Banakh, S. Bardyla:
"Characterizing chain-compact and chain-finite topological semilattices"
,
Semigroup Forum 98:2 (2019), 234--250.
T. Banakh, S. Bardyla:
"Completeness and absolute H-closedness of topological semilattices"
,
Topology Appl. 260 (2019), 189--202.
S. Bardyla:
"An alternative look at the structure of graph inverse semigroups"
, Mat. Stud. 51:1 (2019), 3--11.
T. Banakh, S. Bardyla:
"The interplay between weak topologies on topological semilattices"
, Topology Appl. 259 (2019), 134--154.
S. Bardyla:
"On locally compact semitopological graph inverse semigroups"
, Mat. Stud. 49:1 (2018), 19--28.
S. Bardyla:
"On locally compact shift-continuous topologies on the alpha-bicyclic monoid"
, Topol. Alg. Appl. 6:1 (2018), 34--42.
S. Bardyla, O. Gutik, O.Ravsky:
"H-closed quasitopological groups"
, Topology Appl. 217 (2017), 51--58.
S. Bardyla:
"On semitopological alpha-bicyclic monoid"
, Visn. Lviv. Univ. 81 (2016), 9--22.
S. Bardyla:
"Classifying locally compact semitopological polycyclic monoids"
, Math. Bull. Shev. Sci. Soc. 13 (2016), 13--28.
S. Bardyla, O. Gutik:
"On a complete topological inverse polycyclic monoid"
, Carp. Math. Publ. 8:2 (2016), 183--194.
S. Bardyla, O. Gutik:
"On a semitopological polycyclic monoid"
, Alg. Discr. Math. 21:2 (2016), 163--183.
S. Bardyla, O. Gutik:
"On H-complete topological semilattices"
, Mat. Stud. 38:2 (2012), 118--123.