Shellable complexes and topology of diagonal arrangements

Details Shellable complexes and topology of diagonal arrangements Shellable complexes and topology of diagonal arrangements

2006-10-30

arxiv.org/abs/math/0610941v4

Mathematics

Combinatorics

25 pages, 5 figures; Final version, to appear in Discrete & Computational Geometry

Scientific paper

We prove that if a simplicial complex is shellable, then the intersection
lattice for the corresponding diagonal arrangement is homotopy equivalent to a
wedge of spheres. Furthermore, we describe precisely the spheres in the wedge,
based on the data of shelling. Also, we give some examples of diagonal
arrangements where the complement is K(\pi,1), coming from rank 3 matroids.

Affiliated with

Also associated with

No associations

Rating

Shellable complexes and topology of diagonal arrangements 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 Shellable complexes and topology of diagonal arrangements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shellable complexes and topology of diagonal arrangements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231189