A Galois Theory with Stable Units for Simplicial Sets

  title={A Galois Theory with Stable Units for Simplicial Sets},
  author={Jo{\~a}o J. Xarez},
We recall and reformulate certain known constructions, in order to make a convenient setting for obtaining generalized monotone-light factorizations in the sense of A. Carboni, G. Janelidze, G. M. Kelly and R. Paré. This setting is used to study the existence of monotone-light factorizations both in categories of simplicial objects and in categories of internal categories. It is shown that there is a non-trivial monotone-light factorization for simplicial sets, such that the monotone-light… CONTINUE READING


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