2017
Том 69
№ 7

All Issues

The Stone–Čech Compactification of Groupoids

Behrouzi F.


Abstract

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 semigroupoid.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 4, pp 515-527.

Citation Example: Behrouzi F. The Stone–Čech Compactification of Groupoids // Ukr. Mat. Zh. - 2015. - 67, № 4. - pp. 456–466.