Grapes and Alexander duality
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911442673860608 |
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| author | Marietti, Mario |
| author_facet | Marietti, Mario |
| contents | In this paper, we prove that the property of being a grape (in any of its variants) is invariant under Alexander duality. The explicitly determined (simple-)homotopy type of a grape can be transferred to its Alexander dual via Combinatorial Alexander Duality in (co)homology. We also provide several applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11830 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Grapes and Alexander duality Marietti, Mario Combinatorics In this paper, we prove that the property of being a grape (in any of its variants) is invariant under Alexander duality. The explicitly determined (simple-)homotopy type of a grape can be transferred to its Alexander dual via Combinatorial Alexander Duality in (co)homology. We also provide several applications. |
| title | Grapes and Alexander duality |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2602.11830 |