Systems of Diagram Categories and K-theory I

Details Systems of Diagram Categories and K-theory I Systems of Diagram Categories and K-theory I

2004-01-07

arxiv.org/abs/math/0401062v3

Mathematics

K-Theory and Homology

50 pages

Scientific paper

To any left system of diagram categories or to any left pointed derivateur (in the sense of Grothendieck) a K-theory space is associated. This K-theory space is shown to be canonically an infinite loop space and to have a lot of common properties with Waldhausen's K-theory. A weaker version of additivity is shown. Also, Quillen's K-theory of a large class of exact categories including the abelian categories is proved to be a retract of the K-theory of the associated derivateur.

Affiliated with

Also associated with

No associations

Rating

Systems of Diagram Categories and K-theory I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Systems of Diagram Categories and K-theory I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Systems of Diagram Categories and K-theory I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-114308