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arxiv: math/0401433 · v2 · submitted 2004-01-30 · 🧮 math.KT · math.CT

Systems of Diagram Categories and K-theory. II

classification 🧮 math.KT math.CT
keywords k-theoryadditivityassociatedcategoriesapproximationbiwaldhausencategorycomplicial
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The additivity theorem for derivateurs associated to complicial biWaldhausen categories is proved. Also, to any exact category in the sense of Quillen a K-theory space is associated. This K-theory is shown to satisfy the additivity, approximation and resolution theorems.

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