@article{Bardyla_Ravsky_2020, title={Closed subsets of compact-like topological spaces}, volume={21}, url={https://polipapers.upv.es/index.php/AGT/article/view/12258}, DOI={10.4995/agt.2020.12258}, abstractNote={<p>We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open dense subspaces of<br />countably pracompact topological spaces. We construct a pseudocompact topological semigroup which contains the bicyclic monoid as a closed subsemigroup. This example provides an affirmative answer to a question posed by Banakh, Dimitrova, and Gutik in [4]. Also, we show that the semigroup of ω×ω-matrix units cannot be embedded into a Hausdorff topological semigroup whose space is weakly H-closed.</p>}, number={2}, journal={Applied General Topology}, author={Bardyla, Serhii and Ravsky, Alex}, year={2020}, month={Oct.}, pages={201–214} }