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0-Efficient Triangulations of 3-Manifolds

2003
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Journal of differential geometry
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0-efficient triangulations of 3-manifolds are defined and studied. It is shown that any triangulation of a closed, orientable, irreducible 3-manifold M can be modified to a 0-efficient triangulation or M can be shown to be one of the manifolds S 3 , RP 3 or L(3, 1). Similarly, any triangulation of a compact, orientable, irreducible, ∂-irreducible 3-manifold can be modified to a 0-efficient triangulation. The notion of a 0-efficient ideal triangulation is defined. It is shown if M is a compact,

doi:10.4310/jdg/1090503053
fatcat:43l6lkf5ije77orbilo5tvqfeu