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Georgian Mathematical Journal 13 (2006), No. 4, 607--634 Copyright Heldermann Verlag 2006 Triangulated Track Categories Hans-Joachim Baues Max-Planck-Institut fuer Mathematik, Vivatsgasse 7, 53111 Bonn, Germany baues@mpim-bonn.mpg.de The concept of a triangulated homotopy category can be canonically lifted to the level of a groupoid-enriched category. This way two natural axioms on track triangles replace the four somewhat obscure axioms of a triangulated category. Keywords: Triangulated categories, groupoid-enriched categories. MSC: 18D05, 18E30 [ Fulltext-pdf (528 KB)] for subscribers only. |