On the homology of locally compact spaces with ends

Details On the homology of locally compact spaces with ends On the homology of locally compact spaces with ends

2009-10-29

arxiv.org/abs/0910.5650v3

Mathematics

Algebraic Topology

23 pages; final version, to appear in Topology and its Applications

Scientific paper

We propose a homology theory for locally compact spaces with ends in which the ends play a special role. The approach is motivated by results for graphs with ends, where it has been highly successful. But it was unclear how the original graph-theoretical definition could be captured in the usual language for homology theories, so as to make it applicable to more general spaces. In this paper we provide such a general topological framework: we define a homology theory which satisfies the usual axioms, but which maintains the special role for ends that has made this homology work so well for graphs.

Affiliated with

Also associated with

No associations

Rating

On the homology of locally compact spaces with ends 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 On the homology of locally compact spaces with ends, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the homology of locally compact spaces with ends will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-405186