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arXiv · 2607.25399

The category of necklaces is a test category

Arne Mertens
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Abstract

In this short note, we prove that the category of necklaces is a test category. Hence presheaves on necklaces model homotopy types. The proof is analogous to that for the category of cubes with connections.

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Arne Mertens. 2026-07-28. The category of necklaces is a test category. https://arxiv.org/abs/2607.25399

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