Some useful information is in

Chacholski, Scherer, Homotopy theory of diagrams, math/0110316

This and further references with useful material are listed in the reference section at nLab: homotopy limit.

(By immediate dualization this applies to homotopy colimits, of course).

Some useful information is in

Chacholski, Scherer, Homotopy theory of diagrams, arxiv math/0110316

This and further references with useful material are listed in the reference section at nLab: homotopy limit.

(By immediate dualization this applies to homotopy colimits, of course).