On weakly negative subcategories, weight structures, and (weakly) approximable triangulated categories

DOI10.1134/S1995080220020031zbMath1450.18005arXiv1907.09412MaRDI QIDQ2207014

Mikhail Vladimirovich Bondarko, Sergei Vostokov

Publication date: 27 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09412

zbMATH Keywords

triangulated categoryheart\(t\)-structureweight decompositionweight structureapproximable triangulated categorynegative subcategoryweak weight structure

Mathematics Subject Classification ID

Derived categories, triangulated categories (18G80)

Related Items (1)

On perfectly generated weight structures and adjacent \(t\)-structures

Cites Work

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• On constructing weight structures and extending them to idempotent completions
• Stable model categories are categories of modules
• On torsion theories, weight and \(t\)-structures in triangulated categories
• On purely generated \(\alpha\)-smashing weight structures and weight-exact localizations
• Triangulated Categories
• A Note on Compactly Generated Co-t-Structures
• Weights for Relative Motives: Relation with Mixed Complexes of Sheaves
• Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)
• Axiomatic stable homotopy theory
• NON-COMMUTATIVE LOCALIZATIONS OF ADDITIVE CATEGORIES AND WEIGHT STRUCTURES
• Construction of 𝑡-structures and equivalences of derived categories
• Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura
• On \(t\)-structures and torsion theories induced by compact objects

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