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On determinant functors and K-theory

Muro, Fernando and Tonks, Andrew and Witte, Malte (2010) On determinant functors and K-theory. Preprintreihe der Fakultät Mathematik 12/2010, Working Paper. (Unpublished)

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Abstract

In this paper we introduce a new approach to determinant functors which allows us to extend Deligne's determinant functors for exact categories to Waldhausen categories, (strongly) triangulated categories, and derivators. We construct universal determinant functors in all cases by original methods which are interesting even for the known cases. Moreover, we show that the target of each ...

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Item Type:Monograph (Working Paper)
Date:2010
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
19A99MSC
19B99MSC
18F25MSC
18G50MSC
18G55MSC
18E10MSC
18E30MSC
Keywords:determinant functor, K-theory, exact category, Waldhausen category, triangulated category, Grothendieck derivator
Subjects:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:19 Jul 2010 08:47
Last Modified:13 Mar 2014 13:52
Item ID:15925
Owner Only: item control page
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