Triangulated categories without models

We exhibit examples of triangulated categories which are neither the stable category of a Frobenius category nor a full triangulated subcategory of the homotopy category of a stable model category. Even more drastically our examples do not admit any non-trivial exact functors to or from these algebr...

Descripción completa

Detalles Bibliográficos
Autores: Muro Jiménez, Fernando, Schwede, Stefan, Strickland, Neil
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41893
Acceso en línea:http://hdl.handle.net/11441/41893
https://doi.org/10.1007/s00222-007-0061-2
Access Level:acceso abierto
Palabra clave:Triangulated category
stable model category
Descripción
Sumario:We exhibit examples of triangulated categories which are neither the stable category of a Frobenius category nor a full triangulated subcategory of the homotopy category of a stable model category. Even more drastically our examples do not admit any non-trivial exact functors to or from these algebraic respectively topological triangulated categories.