Higher-dimensional generalization of Youngs' theorem and circular colorings
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917553928929280 |
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| author | Enami, Kengo Matsushita, Takahiro |
| author_facet | Enami, Kengo Matsushita, Takahiro |
| contents | In 1996, Youngs proved that any quadrangulation of the real projective plane is not 3-chromatic. This result has been extended in various directions over the years, including to other non-orientable closed surfaces, higher-dimensional analogues of quadrangulations and circular colorings. In this paper, we provide a generalization which yields some of these extensions of Youngs' theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23562 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher-dimensional generalization of Youngs' theorem and circular colorings Enami, Kengo Matsushita, Takahiro Combinatorics Algebraic Topology 05C15 (Primary) 05C10 (Secondary) In 1996, Youngs proved that any quadrangulation of the real projective plane is not 3-chromatic. This result has been extended in various directions over the years, including to other non-orientable closed surfaces, higher-dimensional analogues of quadrangulations and circular colorings. In this paper, we provide a generalization which yields some of these extensions of Youngs' theorem. |
| title | Higher-dimensional generalization of Youngs' theorem and circular colorings |
| topic | Combinatorics Algebraic Topology 05C15 (Primary) 05C10 (Secondary) |
| url | https://arxiv.org/abs/2505.23562 |