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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2203.13622 |
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| _version_ | 1866916456321515520 |
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| author | Ko, Joanna Meyer, Ralf |
| author_facet | Ko, Joanna Meyer, Ralf |
| contents | 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-Čech compactification for spaces over a locally compact Hausdorff space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_13622 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Existence of groupoid models for diagrams of groupoid correspondences Ko, Joanna Meyer, Ralf Category Theory 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-Čech compactification for spaces over a locally compact Hausdorff space. |
| title | Existence of groupoid models for diagrams of groupoid correspondences |
| topic | Category Theory |
| url | https://arxiv.org/abs/2203.13622 |