Tight complexes in 3-space admit perfect discrete Morse functions

Details Tight complexes in 3-space admit perfect discrete Morse functions Tight complexes in 3-space admit perfect discrete Morse functions

2012-02-15

arxiv.org/abs/1202.3390v2

Mathematics

Geometric Topology

13 pages, 4 figures, some typos corrected

Scientific paper

In 1967, Chillingworth proved that all convex simplicial 3-balls are collapsible. Using the classical notion of tightness, we generalize this to arbitrary manifolds: We show that all tight simplicial 3-manifolds admit some perfect discrete Morse function. We also strengthen Chillingworth's theorem by proving that all convex simplicial 3-balls are non-evasive. In contrast, we show that many non-evasive 3-balls are not convex.

Affiliated with

Also associated with

No associations

Rating

Tight complexes in 3-space admit perfect discrete Morse functions 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 Tight complexes in 3-space admit perfect discrete Morse functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tight complexes in 3-space admit perfect discrete Morse functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558243