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math.KT2007★ 1 cited
Maltsiniotis's first conjecture for K_1
Fernando Muro
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 satura…
math.KT2006★ 3 cited
On K_1 of a Waldhausen category
Fernando Muro, Andrew Tonks
We give a simple representation of all elements in K_1 of a Waldhausen category and prove relations between these representatives which hold in K_1.