On stacked triangulated manifolds

Basudeb Datta, Satoshi Murai

研究成果: Article

抜粋

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.

元の言語English
記事番号#P4.12
ジャーナルElectronic Journal of Combinatorics
24
発行部数4
出版物ステータスPublished - 2017 10 6
外部発表Yes

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ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Computational Theory and Mathematics

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