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Leo Alonso
Leo Alonso
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The case of unbounded (cochain) complexes and colimits is treated with great detail in the paper:

Alonso Tarrío, Leovigildo; Jeremías López, Ana; Souto Salorio, María José Localization in categories of complexes and unbounded resolutions. Canad. J. Math. 52 (2000), no. 2, 225–247.

(Sorry for the self-referncereference). The theory is developed in detail in section 2 of this paper but it is not checked explicitly that they correspond to the usual homotopy colimits by the Dold-Kan correspondence.

The case of unbounded (cochain) complexes and colimits is treated with great detail in the paper:

Alonso Tarrío, Leovigildo; Jeremías López, Ana; Souto Salorio, María José Localization in categories of complexes and unbounded resolutions. Canad. J. Math. 52 (2000), no. 2, 225–247.

(Sorry for the self-refernce). The theory is developed in detail in section 2 of this paper but it is not checked explicitly that they correspond to the usual homotopy colimits by the Dold-Kan correspondence.

The case of unbounded (cochain) complexes and colimits is treated with great detail in the paper:

Alonso Tarrío, Leovigildo; Jeremías López, Ana; Souto Salorio, María José Localization in categories of complexes and unbounded resolutions. Canad. J. Math. 52 (2000), no. 2, 225–247.

(Sorry for the self-reference). The theory is developed in detail in section 2 of this paper but it is not checked explicitly that they correspond to the usual homotopy colimits by the Dold-Kan correspondence.

Source Link
Leo Alonso
Leo Alonso
  • 9.2k
  • 2
  • 43
  • 57

The case of unbounded (cochain) complexes and colimits is treated with great detail in the paper:

Alonso Tarrío, Leovigildo; Jeremías López, Ana; Souto Salorio, María José Localization in categories of complexes and unbounded resolutions. Canad. J. Math. 52 (2000), no. 2, 225–247.

(Sorry for the self-refernce). The theory is developed in detail in section 2 of this paper but it is not checked explicitly that they correspond to the usual homotopy colimits by the Dold-Kan correspondence.