• Corpus ID: 245123723

The (ET4) axiom for Extriangulated Categories

  title={The (ET4) axiom for Extriangulated Categories},
  author={Xiaoxue Kong and Zengqiang Lin and Minxiong Wang},
Extriangulated categories were introduced by Nakaoka and Palu, which is a simultaneous generalization of exact categories and triangulated categories. The axiom (ET4) for extriangulated categories is an analogue of the octahedron axiom (TR4) for triangulated categories. In this paper, we introduce homotopy cartesian squares in pre-extriangulated categories to investigate the axiom (ET4). We provide several equivalent statements of the axiom (ET4) and find out conditions under which the axiom is… 
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These notes are based on a series of five lectures given during the summer school ``Interactions between Homotopy Theory and Algebra'' held at the University of Chicago in 2004.
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  • 2001