The characteristic cohomology class of a triangulated category

The concept of a triangulated homotopy category can be canonically lifted to the level of a groupoid-enriched category. This way two natural axioms on track triangles replace the four somewhat obscure axioms of a triangulated category.

Detalhes bibliográficos
Autores: Baues, Hans Joachim, Muro Jiménez, Fernando
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/43019
Acesso em linha:http://hdl.handle.net/11441/43019
Access Level:acceso abierto
Palavra-chave:triangulated categories
groupoid-enriched categories
Descrição
Resumo:The concept of a triangulated homotopy category can be canonically lifted to the level of a groupoid-enriched category. This way two natural axioms on track triangles replace the four somewhat obscure axioms of a triangulated category.