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arXiv · 2602.11830

Grapes and Alexander duality

Mario Marietti
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Abstract

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.

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Mario Marietti. 2026-02-12. Grapes and Alexander duality. https://arxiv.org/abs/2602.11830

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