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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

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