1 citations · 1 across the 5 of their papers we have counts for
5 papers
Local Bousfield classes via homological support
Tobias Barthel, Natalia Castellana, Drew Heard +2
Given an object in a big tensor-triangulated category, we study the homological and cohomological Bousfield classes of the associated localization: the tensor-triangulated cate…
Smashing, Balmer, Zariski spectra: an ideal approach
Jiacheng Liang, Changhan Zou
We introduce the Zariski frame of any presentably symmetric monoidal -category. This allows us to unify several spectral theories arising in higher algebra. The Zariski fra…
Convexity in tensor triangular geometry
Changhan Zou
We classify the dualizable localizing ideals of rigidly-compactly generated tt--categories that are cohomologically stratified. By definition, these are the localizing idea…
Homological stratification and descent
Tobias Barthel, Drew Heard, Beren Sanders +1
We introduce a notion of stratification for rigidly-compactly generated tensor-triangulated categories relative to the homological spectrum and develop the fundamental features of…
Support theories for non-Noetherian tensor triangulated categories
Changhan Zou
We extend the support theory of Benson--Iyengar--Krause to the non-Noetherian setting by introducing a new notion of small support for modules. This enables us to prove that the st…