Cotorsion pairs, model structures and homotopy categories

E. Enochs, S. Estrada, A. Iacob

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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 recent results of [23, 24, 25] as particular instances. And we also find new abelian model structures both in C(R) and in C(ωco(X)) attained to classes which are non necessarily closed under direct limits.

Original languageEnglish
Pages (from-to)43-61
Number of pages19
JournalHouston Journal of Mathematics
Volume40
Issue number1
StatePublished - Jan 1 2014

Keywords

  • Complete cotorsion pair
  • Homotopy category
  • Model structure
  • Cotorsion pairs
  • Homotopy categories
  • Model structures

DC Disciplines

  • Education
  • Mathematics

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