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arXiv · 2511.10454

Definable functoriality of tensor-triangular spectra

Isaac Bird·Jordan Williamson
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Abstract

We prove that the homological and Balmer spectra in tensor-triangular geometry are functorial in certain definable functors, thereby providing an alternative perspective on functoriality in tensor-triangular geometry from the viewpoint of purity, and generalising current results in the literature.

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BibTeXRIS

Isaac Bird, Jordan Williamson. 2025-11-13. Definable functoriality of tensor-triangular spectra. https://doi.org/10.2140/pjm.2026.341.33

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