A note on compactly generated co-t-structures

2010/06/28 by David Pauksztello, Pauksztello, David · 1 citation
Mathematics · #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.CT #msc:18E30

paper · pdf · doi:10.48550/arxiv.1006.5347

10 pages; details added to proofs, small correction in the main result

openalex publication_date 2010/06/28 · arxiv created 2011/09/19 · arxiv updated 2011/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The idea of a co-t-structure is almost "dual" to that of a t-structure, but with some important differences. This note establishes co-t-structure analogues of Beligiannis and Reiten's corresponding results on compactly generated t-structures.

Citations

• Purity and decomposition theorems for staggered sheaves

Cited by

• Homotopy categories and idempotent completeness, weight structures and weight complex functors

Related

• Co-t-structures: The First Decade
• Compact Corigid Objects in Triangulated Categories and Co-t-structures
• Weight structures cogenerated by weak cocompact objects
• The extensions of t-structures
• Co-t-structures, cotilting and cotorsion pairs