Existence of groupoid models for diagrams of groupoid correspondences
Theory and applications of categories, Tome 41 (2024), pp. 449-469
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.
Publié le :
Classification :
18A30, 18N10, 18B40
Keywords: étale groupoid, groupoid correspondence, bicategory, terminal object, relative Stone-Cech compactification
Keywords: étale groupoid, groupoid correspondence, bicategory, terminal object, relative Stone-Cech compactification
@article{TAC_2024_41_a12,
author = {Joanna Ko and Ralf Meyer},
title = {Existence of groupoid models for diagrams of groupoid correspondences},
journal = {Theory and applications of categories},
pages = {449--469},
year = {2024},
volume = {41},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2024_41_a12/}
}
Joanna Ko; Ralf Meyer. Existence of groupoid models for diagrams of groupoid correspondences. Theory and applications of categories, Tome 41 (2024), pp. 449-469. http://geodesic.mathdoc.fr/item/TAC_2024_41_a12/