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1 results

  • Simplicial homotopy in semi-abelian categories

  • Tim Van der Linden
  • Journal:
    Journal of K-Theory / Volume 4 / Issue 2 / October 2009
    Published online by Cambridge University Press:
    04 September 2008, pp. 379-390
    Print publication:
    October 2009

  • We study Quillen's model category structure for homotopy of simplicial objects in the context of Janelidze, Márki and Tholen's semi-abelian categories. This model structure exists as soon as is regular Mal'tsev and has enough regular projectives; then the fibrations are the Kan fibrations of S. When, moreover, is semi-abelian, weak equivalences and homology isomorphisms coincide.