The spectrum of a well-generated tensor triangulated category

Autor:	Krause, Henning, Letz, Janina C.
Rok vydání:	2022
Předmět:	Mathematics - Category Theory Mathematics - Algebraic Geometry Mathematics - Representation Theory 18G80 (primary) 18F70 18C35 (secondary)
Druh dokumentu:	Working Paper
Popis:	For a tensor triangulated category and any regular cardinal $\alpha$ we study the frame of $\alpha$-localizing tensor ideals and its associated space of points. For a well-generated category and its frame of localizing tensor ideals we provide conditions such that the associated space is obtained by refining the topology of the corresponding space for the triangulated subcategory of $\alpha$-compact objects. This is illustrated by several known examples for $\alpha=\aleph_0$, and new spaces arise for $\alpha>\aleph_0$. Comment: 20 pages. Revisions. To appear in Bulletin of the London Mathematical Society
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.03249 Zobrazit plný text záznamu View this record from Arxiv