Locally Compact Objects in Exact Categories

Details Locally Compact Objects in Exact Categories Locally Compact Objects in Exact Categories

2007-10-12

arxiv.org/abs/0710.2509v3

Mathematics

Category Theory

34 pages; several changes throughout sect. 2

Scientific paper

We identify two categories of locally compact objects on an exact category A. They correspond to the well-known constructions of the Beilinson category lim A and the Kato category k(A). We study their mutual relations and compare the two constructions. We prove that lim A is an exact category, which gives to this category a very convenient feature when dealing with K-theoretical invariants. It is natural therefore to consider the Beilinson category lim A as the most convenient candidate to the role of the category of locally compact objects over an exact category. We also show that the categories Ind_{aleph_0}(C), Pro_{aleph_0}(C) of countably indexed ind/pro-objects over any category C can be described as localizations of categories of diagrams over C.

Affiliated with

Also associated with

No associations

Rating

Locally Compact Objects in Exact 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 Locally Compact Objects in Exact Categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Locally Compact Objects in Exact Categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-404033