# The Additivity of Traces in Triangulated Categories

@article{May2001TheAO, title={The Additivity of Traces in Triangulated Categories}, author={Jon P. May}, journal={Advances in Mathematics}, year={2001}, volume={163}, pages={34-73} }

Abstract We explain a fundamental additivity theorem for Euler characteristics and generalized trace maps in triangulated categories. The proof depends on a refined axiomatization of symmetric monoidal categories with a compatible triangulation. The refinement consists of several new axioms relating products and distinguished triangles. The axioms hold in the examples and shed light on generalized homology and cohomology theories.

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