On K1 of a Waldhausen Category
نویسندگان
چکیده
We give a simple representation of all elements in K1 of a Waldhausen category and prove relations between these representatives which hold in K1.
منابع مشابه
Of a Waldhausen Category
We give a simple representation of all elements in K1 of a Waldhausen category and prove relations between these representatives which hold in K1.
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We 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. Introduction For a long time there was an interest in defining a nice K-theory for triangulated categories ...
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We 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. Introduction For a long time there was an interest in defining a nice K-theory for triangulated categories ...
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If C is a Waldhausen category (i.e., a “category with cofibrations and weak equivalences”), it is known that one can define its K-theory K(C) as a connective symmetric Ω-spectrum. The goal of these notes is to explain the construction in such a way that it can be not only understood, but also (hopefully) remembered by a non-expert. We do not claim that our exposition shows the process by which ...
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تاریخ انتشار 2006