The Bousfield lattice of a triangulated category and stratification

2011/05/09 by Srikanth B. Iyengar, Iyengar, Srikanth B., Henning Krause +1
Mathematics · #13D45 #18E30 #18G99 (primary) #20J06 #55P42 (secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1105.1799

openalex publication_date 2011/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a tensor triangulated category which is well generated in the sense of Neeman, it is shown that the collection of Bousfield classes forms a set. This set has a natural structure of a complete lattice which is then studied, using the notions of stratification and support.

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