A Generalization of Quillen's Small Object Argument

  title={A Generalization of Quillen's Small Object Argument},
  author={BORIS CHORNY},
  • Published 2008
We generalize the small object argument in order to allow for its application to proper classes of maps (as opposed to sets of maps in Quillen’s small object argument). The necessity of such a generalization arose with appearance of several important examples of model categories which were proven to be non-cofibrantly generated [2, 6, 8, 20]. Our current approach allows for construction of functorial factorizations and localizations in the equivariant model structures on diagrams of spaces [10… CONTINUE READING

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