Left-determined model categories and universal homotopy theories

  title={Left-determined model categories and universal homotopy theories},
  author={J. Rosick{\'y} and Walter Tholen},
We say that a model category is left-determined if the weak equivalences are generated (in a sense specified below) by the cofibrations. While the model category of simplicial sets is not left-determined, we show that its non-oriented variant, the category of symmetric simplicial sets (in the sense of Lawvere and Grandis) carries a natural left-determined model category structure. This is used to give another and, as we believe simpler, proof of a recent result of D. Dugger about universal… CONTINUE READING
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Left-determined model categories and universal homotopy theories

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