Abstract
We show the cd-index exists for Whitney stratified manifolds by extending the notion of a graded poset to that of a quasi-graded poset. This is a poset endowed with an order-preserving rank function and a weighted zeta function. This allows us to generalize the classical notion of Eulerianness, and obtain a cd-index in the quasi-graded poset arena. We also extend the semi-suspension operation to that of embedding a complex in the boundary of a higher dimensional ball and study the shelling components of the simplex.
| Original language | English |
|---|---|
| Pages (from-to) | 133-144 |
| Number of pages | 12 |
| Journal | Discrete Mathematics and Theoretical Computer Science |
| State | Published - 2013 |
| Event | 25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France Duration: Jun 24 2013 → Jun 28 2013 |
Keywords
- Eulerian condition
- Quasi-graded poset
- Semisuspension
- Weighted zeta function
- Whitney's conditions a and b
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science (all)
- Discrete Mathematics and Combinatorics