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...

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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/