Definable functoriality of tensor-triangular spectra
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.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Topology and Set Theory
Advanced Operator Algebra Research
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Publisher
- Mathematical Sciences Publishers
- Volume
- 341
- Issue
- 1
- Pages
- 33–44
- Publication date
- 10 March 2026
- Language
- EN