Complexity of triangulations of the projective space
نویسنده
چکیده
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. MSC–class: 57Q25; 57Q15.
منابع مشابه
Pseudo Ricci symmetric real hypersurfaces of a complex projective space
Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملA 3-manifold complexity via immersed surfaces
We define an invariant, which we call surface-complexity, of closed 3manifolds by means of Dehn surfaces. The surface-complexity of a manifold is a natural number measuring how much the manifold is complicated. We prove that it fulfils interesting properties: it is subadditive under connected sum and finite-to-one on P-irreducible manifolds. Moreover, for P-irreducible manifolds, it equals the ...
متن کاملay 2 00 8 Notes on Convex Sets , Polytopes , Polyhedra Combinatorial Topology , Voronoi Diagrams and Delaunay Triangulations
Some basic mathematical tools such as convex sets, polytopes and combinatorial topology, are used quite heavily in applied fields such as geometric modeling, meshing, computer vision, medical imaging and robotics. This report may be viewed as a tutorial and a set of notes on convex sets, polytopes, polyhedra, combinatorial topology, Voronoi Diagrams and Delaunay Triangulations. It is intended f...
متن کاملAspects of Convex Geometry Polyhedra, Shellings, Voronoi Diagrams, Delaunay Triangulations
Some basic mathematical tools such as convex sets, polytopes and combinatorial topology, are used quite heavily in applied fields such as geometric modeling, meshing, computer vision, medical imaging and robotics. This report may be viewed as a tutorial and a set of notes on convex sets, polytopes, polyhedra, combinatorial topology, Voronoi Diagrams and Delaunay Triangulations. It is intended f...
متن کاملNormal surfaces in topologically finite 3–manifolds
This paper investigates normal surface theory in topologically finite 3–manifolds with ideal triangulations. Treated are closed and non– compact normal surfaces, the projective solution space and the projective admissible solution space, as well as the leaf spaces of the transversely measured singular codimension–one foliations defined by admissible solutions. AMS Classification 57M25, 57N10
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008