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/
| Summary: | 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 over The other triangle equivalence is between the homotopy category of the bounded cohomology and bounded below complexes over a strongly closed by cokernels of monomorphisms and auto-orthogonal subcategory of an abelian category and the derived category of the bounded cohomology and bounded below complexes over |
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