One-point reductions of finite spaces, h-regular CW-complexes and collapsibility

Details One-point reductions of finite spaces, h-regular CW-complexes and collapsibility One-point reductions of finite spaces, h-regular CW-complexes and collapsibility

2007-12-28

arxiv.org/abs/0801.0007v2

Mathematics

Algebraic Topology

We wrote a more detailed introduction. 13 pages, 8 figures

Scientific paper

We investigate one-point reduction methods of finite topological spaces. These methods allow one to study homotopy theory of cell complexes by means of elementary moves of their finite models. We also introduce the notion of h-regular CW-complex, generalizing the concept of regular CW-complex, and prove that the h-regular CW-complexes, which are a sort of combinatorial-up-to-homotopy objects, are modeled (up to homotopy) by their associated finite spaces. This is accomplished by generalizing a classical result of McCord on simplicial complexes.

Affiliated with

Also associated with

No associations

Rating

One-point reductions of finite spaces, h-regular CW-complexes and collapsibility 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 One-point reductions of finite spaces, h-regular CW-complexes and collapsibility, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-point reductions of finite spaces, h-regular CW-complexes and collapsibility will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259209