Topology Preserving Edge Contraction
Tamal K. Dey, Herbert Edelsbrunner, Sumanta Guha, Dmitry V. Nekhayev (1999)
Publications de l'Institut Mathématique
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Displaying similar documents to “Triangulations of 3-dimensional pseudomanifolds with an application to state-sum invariants.”
Topology Preserving Edge Contraction
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We introduce a family of conditions on a simplicial complex that we call local -largeness (≥6 is an integer). They are simply stated, combinatorial and easily checkable. One of our themes is that local 6-largeness is a good analogue of the non-positive curvature: locally 6-large spaces have many properties similar to non-positively curved ones. However, local 6-largeness neither implies nor is implied by non-positive curvature of the standard metric. One can think of these results as...
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