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arXiv · 0707.1892

Maltsiniotis's first conjecture for K_1

Fernando Muro
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Abstract

We show that K_1 of an exact category agrees with K_1 of the associated triangulated derivator. More generally we show that K_1 of a Waldhausen category with cylinders and a saturated class of weak equivalences coincides with K_1 of the associated right pointed derivator.

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Fernando Muro. 2007-10-19. Maltsiniotis's first conjecture for K_1. https://doi.org/10.1093/imrn%2Frnm153

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