Maltsiniotis's first conjecture for K_1 , by 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 saturated class of weak equivalences coincides with K_1 of the associated right pointed derivator.

• 0874.bib (233 bytes)
• malt2final.dvi (150764 bytes) [October 19, 2007]
• malt2final.dvi.gz (52023 bytes)
• malt2final.pdf (216208 bytes)
• malt2final.ps.gz (222067 bytes)