Borel Edge Colorings for Finite Dimensional Groups
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866912928620347392 |
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| author | Weilacher, Felix |
| author_facet | Weilacher, Felix |
| contents | We study the potential of Borel asymptotic dimension, a tool introduced recently in arXiv:2009.06721, to help produce Borel edge colorings of Schreier graphs generated by Borel group actions. We find that it allows us to recover the classical bound of Vizing in certain cases, and also use it to exactly determine the Borel edge chromatic number for free actions of abelian groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_14646 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Borel Edge Colorings for Finite Dimensional Groups Weilacher, Felix Logic 03E15 We study the potential of Borel asymptotic dimension, a tool introduced recently in arXiv:2009.06721, to help produce Borel edge colorings of Schreier graphs generated by Borel group actions. We find that it allows us to recover the classical bound of Vizing in certain cases, and also use it to exactly determine the Borel edge chromatic number for free actions of abelian groups. |
| title | Borel Edge Colorings for Finite Dimensional Groups |
| topic | Logic 03E15 |
| url | https://arxiv.org/abs/2104.14646 |