A remark on K-theory and S-categories

Details A remark on K-theory and S-categories A remark on K-theory and S-categories

2002-10-08

arxiv.org/abs/math/0210125v2

Mathematics

K-Theory and Homology

23 pages; final version, accepted for publication in 'Topology'

Scientific paper

It is now well known that the K-theory of a Waldhausen category depends on more than just its (triangulated) homotopy category (see [Schlichting]). The purpose of this note is to show that the K-theory spectrum of a (good) Waldhausen category is completely determined by its Dwyer-Kan simplicial localization, without any additional structure. As the simplicial localization is a refined version of the homotopy category which also determines the triangulated structure, our result is a possible answer to the general question: ``To which extent $K$-theory is not an invariant of triangulated derived categories ?''

Affiliated with

Also associated with

No associations

Rating

A remark on K-theory and S-categories 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 A remark on K-theory and S-categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A remark on K-theory and S-categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-549046