科研之友
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摘要
For a field F, the notion of F-tightness of simplicial complexes was introduced by Kuhnel. Kuhnel and Lutz conjectured that F-tight triangulations of a closed manifold are the most economic of all possible triangulations of the manifold. The boundary of a triangle is the only F-tight triangulation of a closed 1-manifold. A triangulation of a closed 2-manifold is F-tight if and only if it is F-orientable and neighbourly. In this paper we prove that a triangulation of a closed 3-manifold is F-tight if and only if it is F-orientable, neighbourly and stacked. In consequence, the Kuhnel-Lutz conjecture is valid in dimension <= 3.
- 出版日期2017-3
