Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4653463 | European Journal of Combinatorics | 2015 | 14 Pages |
Abstract
In 1967, Chillingworth proved that all convex simplicial 33-balls are collapsible. Using the classical notion of tightness, we generalize this to arbitrary manifolds: we show that all tight polytopal 33-manifolds admit some perfect discrete Morse function. We also strengthen Chillingworth’s theorem by proving that all convex simplicial 33-balls are non-evasive. In contrast, we show that many non-evasive 33-balls cannot be realized in a convex way.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Karim Adiprasito, Bruno Benedetti,