Brown representability does not come for free

• Autores: Carles Casacuberta i Vergés , Amnon Neeman
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 1, 2009, págs. 1-5
• Idioma: inglés
• DOI: 10.4310/mrl.2009.v16.n1.a1
• Texto completo no disponible (Saber más ...)
• Resumen

  • We exhibit a triangulated category $\ct$ having both products and coproducts, and a triangulated subcategory $\cs\subset \ct$ which is both localizing and colocalizing, for which neither a Bousfield localization nor a colocalization exists. It follows that neither the~category $\cs$ nor its dual satisfy Brown representability. Our example involves an abelian category whose derived category does not have small Hom-sets.