Complexity of triangulations of the projective space

2002/05/31 by Simon A. King
Mathematics · #math.GT #msc:57Q25 #msc:57Q15

paper · pdf

published as Topology Appl., 132 (2003), pp. 261-270. · 10 pages, 3 figures. Revised version, to appear in Top. Appl

arxiv created 2003/01/14 · arxiv updated 2009/11/30

Abstract

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.

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