Function complexes in homotopical algebra

@article{Dwyer1980FunctionCI,
  title={Function complexes in homotopical algebra},
  author={William G. Dwyer and Daniel M. Kan},
  journal={Topology},
  year={1980},
  volume={19},
  pages={427-440}
}
1 .l Summary IN [l] QUILLEN introduced the notion of a model category (a category together with three classes of maps: weak equivalences, fibrations and cofibrations, satisfying certain axioms (1.4 (iv))) as a general framework for “doing homotopy theory”. To each model category M there is associated a homotopy category. If W C M denotes the subcategory of the weak equivalences, then this homotopy category is just the localization M[W-‘I, i.e. the category obtained from M by formally inverting… Expand
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