Complexity of triangulations of the projective space

Details Complexity of triangulations of the projective space Complexity of triangulations of the projective space

2002-05-31

arxiv.org/abs/math/0205326v2

Topology Appl., 132 (2003), pp. 261-270.

Mathematics

Geometric Topology

10 pages, 3 figures. Revised version, to appear in Top. Appl

Scientific paper

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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