This article continues the study of diagrams in the bicategory of étale groupoid correspondences. We prove that any such diagram has a groupoid model and that the groupoid model is a locally compact étale groupoid if the diagram is locally compact and proper. A key tool for this is the relative Stone-Cech compactification for spaces over a locally compact Hausdorff space.
Keywords: étale groupoid; groupoid correspondence; bicategory; terminal object; relative Stone-Cech compactification
2020 MSC: 18A30; 18N10; 18B40
Theory and Applications of Categories, Vol. 41, 2024, No. 13, pp 449-469.
Published 2024-04-15.
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