Complexity of triangulations of the projective space
Copyright policy )Complexity of triangulations of the projective space
It is known that any two triangulations of a compact 3-manifold are related by finite sequences of certain local transformations. We prove here an upper bound for the length of a shortest transformation sequence relating any two triangulations of the 3-dimensional projective space, in terms of the number of tetrahedra.
10 pages, 3 figures. Revised version, to appear in Top. Appl
- TU Darmstadt Germany
General low-dimensional topology, Topology of general \(3\)-manifolds, local transformation, projective space, 3-dimensional manifolds, Geometric Topology (math.GT), triangulation, Local transformation, Triangulation, Normal surface, normal surface, Mathematics - Geometric Topology, Comparison of PL-structures: classification, Hauptvermutung, 57Q25;57Q15, FOS: Mathematics, 57Q15, Geometry and Topology, 57Q25, edge contractions, Projective space
General low-dimensional topology, Topology of general \(3\)-manifolds, local transformation, projective space, 3-dimensional manifolds, Geometric Topology (math.GT), triangulation, Local transformation, Triangulation, Normal surface, normal surface, Mathematics - Geometric Topology, Comparison of PL-structures: classification, Hauptvermutung, 57Q25;57Q15, FOS: Mathematics, 57Q15, Geometry and Topology, 57Q25, edge contractions, Projective space
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