2016-06-062016-06-062008Muro Jiménez, F. (2008). Maltsiniotis's first conjecture for K1. International Mathematics Research Notices, 2008http://hdl.handle.net/11441/41891We show that K1(E) of an exact category E agrees with K1(DE) of the associated triangulated derivator DE. More generally we show that K1(W) of a Waldhausen category W with cylinders and a saturated class of weak equivalences agrees with K1(DW) of the associated right pointed derivator DW.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/K-theoryexact categorytriangulated derivatorPostnikov invariantstable quadratic moduleinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttp://dx.doi.org/10.1093/imrn/rnm153https://idus.us.es/xmlui/handle/11441/41891