Sheaves, localizations, and unstable extensions: Some counterexamples

DOI10.1016/0021-8693(91)90164-4zbMath0737.18002OpenAlexW1965984640WikidataQ124843981 ScholiaQ124843981MaRDI QIDQ1175756

A. Barbara Veit

Publication date: 25 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90164-4

zbMATH Keywords

word problemlocally presentable categorycategories of groups over monoidssheafificationuniversal closure operation

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Theories (e.g., algebraic theories), structure, and semantics (18C10) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Functor categories, comma categories (18A25) Localization of categories, calculus of fractions (18E35)

Related Items

Subobject classifier for algebraic structures ⋮ Localizations of locally presentable categories and exact topologies

Cites Work

• On the left exactness of orthogonal reflections
• Subobject classifier for algebraic structures
• Lokal präsentierbare Kategorien. (Locally presentable categories)
• On theories with a combinatorial definition of 'equivalence'
• Des catégories abéliennes
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