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- W2069366912 abstract "Let M be an n-vertex combinatorial triangulation of a Z2-homology d-sphere. In this paper we prove that if n⩽d+8 then M must be a combinatorial sphere. Further, if n=d+9 and M is not a combinatorial sphere then M cannot admit any proper bistellar move. Existence of a 12-vertex triangulation of the lens space L(3,1) shows that the first result is sharp in dimension three. In the course of the proof we also show that any Z2-acyclic simplicial complex on ⩽7 vertices is necessarily collapsible. This result is best possible since there exist 8-vertex triangulations of the Dunce Hat which are not collapsible." @default.
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- W2069366912 date "2005-12-01" @default.
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- W2069366912 title "Combinatorial triangulations of homology spheres" @default.
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- W2069366912 doi "https://doi.org/10.1016/j.disc.2005.06.026" @default.
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