A topological proof of Ky Fan's covering lemma
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911082356932608 |
|---|---|
| author | Chornomaz, Bogdan |
| author_facet | Chornomaz, Bogdan |
| contents | We give an intuitive combinatorial proof of Ky Fan's covering lemma based on the Borsuk-Ulam theorem. We then show how this approach can be generalized to Ky Fan's covering lemma for several linear orders. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22184 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A topological proof of Ky Fan's covering lemma Chornomaz, Bogdan Combinatorics Algebraic Topology We give an intuitive combinatorial proof of Ky Fan's covering lemma based on the Borsuk-Ulam theorem. We then show how this approach can be generalized to Ky Fan's covering lemma for several linear orders. |
| title | A topological proof of Ky Fan's covering lemma |
| topic | Combinatorics Algebraic Topology |
| url | https://arxiv.org/abs/2507.22184 |