Definable functoriality of tensor-triangular spectra
arXiv:2511.10454 · doi:10.2140/pjm.2026.341.33
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.
v1: 11pp. The results are an improved and generalised version of results that appeared in the original version of arXiv:2310.02159. v2: minor changes. Version accepted in Pacific J. Math