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# The Additivity of Traces in Triangulated Categories

@inproceedings{May2002TheAO, title={The Additivity of Traces in Triangulated Categories}, author={John P. May}, year={2002} }

- Published 2002

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.Â

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