Cotorsion Pairs, Model Structures and Adjoints in Homotopy Categories
Document Type
Article
Publication Date
2014
Publication Title
Houston Journal of Mathematics
ISSN
0362-1588
Abstract
We will show the interlacing between complete cotorsion pairs, model structures and homotopy categories. This will give a method of constructing adjoint functors between homotopy categories as well as a method for constructing abelian model structures in the category of unbounded complexes of certain abelian categories. We illustrate our methods by recovering some recents results of Murfet and Neeman as particular instances. And we also find new abelian model structures both in C(R) and in C(Qco(X)) attained to classes which are non necessarily closed under direct limits.
Recommended Citation
Enochs, Edgar E., Sergio Estrada, Alina Iacob.
2014.
"Cotorsion Pairs, Model Structures and Adjoints in Homotopy Categories."
Houston Journal of Mathematics, 40 (1): 43-61.
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/83
