Grothendieck enriched categories

DOI10.1007/s10485-022-09681-1zbMath1505.18013arXiv2105.05108OpenAlexW3161999094MaRDI QIDQ2674405

Yuki Imamura

Publication date: 12 September 2022

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.05108

zbMATH Keywords

Grothendieck categoryenriched categoryDG categoryGabriel-Popescu theorem

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Enriched categories (over closed or monoidal categories) (18D20)

Uses Software

• MathOverflow

Cites Work

• Lex colimits
• Locally well generated homotopy categories of complexes
• Duality, trace and transfer
• Grothendieck categories of enriched functors
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Localizations of algebraic categories. II
• Grothendieck categories as a bilocalization of linear sites
• A generalization of the Gabriel-Popescu theorem
• Exponentiable Grothendieck categories in flat algebraic geometry
• Linearized topologies and deformation theory
• The Popescu-Gabriel theorem for triangulated categories
• ENHANCED TRIANGULATED CATEGORIES
• Generic Representations of the Finite General Linear Groups and the Steenrod Algebra: I
• Derived categories for Grothendieck categories of enriched functors
• Tensor Categories
• Categories and Sheaves
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