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Urs Schreiber
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A list of definitions, general formulas and types of examples is at nLab: homotopy limit.

In particular there is a whole subsection on homotopy pullbacks.

Closely related material (further examples, if you wish) is at fibration sequence.

Urs Schreiber
  • 19.8k
  • 1
  • 74
  • 269