On some generalization of the bicyclic semigroup: the topological versionCencelj, Matija (Avtor) Gutik, Oleg (Avtor) Repovš, Dušan (Avtor) topological semigroupsemitopological semigroupbicyclic semigroupclosureembeddingBaire spaceWe show that every Hausdorff Baire topology $\tau$ on ${\cal C} = \langle a,b | a^2b=a, ab^2=b \rangle$ such that $({\cal C},\tau)$ is a semitopological semigroup is discrete and we construct a nondiscrete Hausdorff semigroup topology on ${\cal C}$. We also discuss the closure of a semigroup ${\cal C}$ in a semitopological semigroup and prove that ${\cal C}$ does not embed into a topological semigroup with the countably compact square.20222024-01-29 07:30:54Članek v reviji154164UDK: 512.536ISSN pri članku: 2078-3744DOI: 10.30970/vmm.2022.94.056-071COBISS_ID: 182170115slRecenzirani rokopis članka je v Repozitorij Univerze v Ljubljani shranjen z dovoljenjem založnika. (Datum opombe: 29. 1. 2024)