We prove two results on stacked triangulated manifolds in this paper: (a) every stacked triangulation of a connected manifold with or without boundary is obtained from a simplex or the boundary of a simplex by certain combinatorial operations; (b) in dimension d ≥ 4, if Δ is a tight connected closed homology d-manifold whose ith homology vanishes for 1 < i < d - 1, then Δ is a stacked triangulation of a manifold. These results give affirmative answers to questions posed by Novik and Swartz and by Effenberger.
|ジャーナル||Electronic Journal of Combinatorics|
|出版物ステータス||Published - 2017 10 6|
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Computational Theory and Mathematics