0 Se p 20 06 Cofibrations in Homotopy Theory

  title={0 Se p 20 06 Cofibrations in Homotopy Theory},
  author={Andrei Rădulescu-Banu},
  • Andrei Rădulescu-Banu
  • Published 2007
We define Anderson-Brown-Cisinski (ABC) cofibration categories, and construct homotopy colimits of diagrams of objects in ABC cofibraction categories. Homotopy colimits for Quillen model categories are obtained as a particular case. We attach to each ABC cofibration category a right derivator. A dual theory is developed for homotopy limits in ABC fibration categories and for left derivators. These constructions provide a natural framework for ’doing homotopy theory’ in ABC (co)fibration… CONTINUE READING

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