The Stone–Čech Compactification of Groupoids

• Datum: 2015
• Hauptverfasser: Behrouzi, F., Бехрузі, Ф.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1996
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Let $G$ be a discrete groupoid. Consider the Stone–Čech compactification $βG$ of $G$ . We extend the operation on the set of composable elements $G^{(2)}$ of $G$ to the operation * on a subset $(βG)^{(2)}$ of $βG×βG$ such that the triple $(βG, (βG)^{(2)}$, *) is a compact right topological semigroup...