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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.04806 |
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| _version_ | 1866910401791262720 |
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| author | Panina, Gaiane Živaljević, Rade |
| author_facet | Panina, Gaiane Živaljević, Rade |
| contents | The classic Ky Fan theorem is a combinatorial equivalent of Borsuk-Ulam theorem. It is a generalization and extension of Tucker's lemma and, just like its predecessor, it pinpoints important properties of antipodal colorings of vertices of a triangulated sphere $S^n$. Here we describe generalizations of Ky Fan theorem for the case when the sphere is replaced by the total space of a triangulated sphere bundle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04806 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ky Fan theorem for sphere bundles Panina, Gaiane Živaljević, Rade Combinatorics Algebraic Topology 57R20, 05C15 The classic Ky Fan theorem is a combinatorial equivalent of Borsuk-Ulam theorem. It is a generalization and extension of Tucker's lemma and, just like its predecessor, it pinpoints important properties of antipodal colorings of vertices of a triangulated sphere $S^n$. Here we describe generalizations of Ky Fan theorem for the case when the sphere is replaced by the total space of a triangulated sphere bundle. |
| title | Ky Fan theorem for sphere bundles |
| topic | Combinatorics Algebraic Topology 57R20, 05C15 |
| url | https://arxiv.org/abs/2404.04806 |