Some equivalences between homotopy and derived categories
ABSTRACT: We prove two triangle equivalences. One is the triangle equivalence between the homotopy category of the bounded below complexes of Ext-injectives objects of a closed by subobjects and co-resolving subcategory of an abelian category and the derived category of the bounded below complexes o...
- Autores:
-
Giraldo Salazar, Hernán Alonso
Moreno Cañadas, Agustín
Saldarriaga Ortiz, Omar Darío
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2015
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/30843
- Acceso en línea:
- https://hdl.handle.net/10495/30843
- Palabra clave:
- Equivalencias de homotopía
Homotopy equivalences
Teoría de homotopía
Homotopy theory
Grupos abelianos
Abelian groups
Topología algebraica
Algebraic topology
Derived category
Triangulated category
Homotopy category
Auto-orthogonal category
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/2.5/co/