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Title of article :
Combinatorial triangulations of homology spheres Original Research Article
Author/Authors :
Bhaskar Bagchi، نويسنده , , Basudeb Datta، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Pages :
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Abstract :
Let M be an n-vertex combinatorial triangulation of a image-homology d-sphere. In this paper we prove that if image then M must be a combinatorial sphere. Further, if image 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 image shows that the first result is sharp in dimension three. In the course of the proof we also show that any image-acyclic simplicial complex on image vertices is necessarily collapsible. This result is best possible since there exist 8-vertex triangulations of the Dunce Hat which are not collapsible.
Keywords :
Combinatorial spheres , pl Manifolds , Collapsible simplicial complexes , Homology spheres
Journal title :
Discrete Mathematics
Serial Year :
Link To Document :