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arXiv · 2410.19138

Spectrality of the product does not imply that the components are spectral

Gábor Somlai
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Abstract

Greenfeld and Lev conjectured that the Cartesian product of two sets $A$ and $B$ is spectral if and only if $A$ and $B$ are spectral. We construct a counterexample to this fact using the existence of a tile that has no spectra.

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Gábor Somlai. 2024-10-24. Spectrality of the product does not imply that the components are spectral. https://arxiv.org/abs/2410.19138

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