Existence of groupoid models for diagrams of groupoid correspondences
Category Theory
2024-10-29 v1
Abstract
This article continues the study of diagrams in the bicategory of \'etale groupoid correspondences. We prove that any such diagram has a groupoid model and that the groupoid model is a locally compact \'etale groupoid if the diagram is locally compact and proper. A key tool for this is the relative Stone-\v{C}ech compactification for spaces over a locally compact Hausdorff space.
Keywords
Cite
@article{arxiv.2203.13622,
title = {Existence of groupoid models for diagrams of groupoid correspondences},
author = {Joanna Ko and Ralf Meyer},
journal= {arXiv preprint arXiv:2203.13622},
year = {2024}
}
Comments
17 pages