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.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 4, pp. 456–466, April, 2015.
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Behrouzi, F. The Stone–Čech Compactification of Groupoids. Ukr Math J 67, 515–527 (2015). https://doi.org/10.1007/s11253-015-1097-x
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DOI: https://doi.org/10.1007/s11253-015-1097-x