paper

Complexity of triangulations of the projective space

arXiv:math/0205326

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.

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