Simplifying triangulations of S^3

Details Simplifying triangulations of S^3 Simplifying triangulations of S^3

2000-08-15

arxiv.org/abs/math/0008107v1

Mathematics

Geometric Topology

27 pages, 18 figures

Scientific paper

In this paper we describe a procedure to simplify any given triangulation of
the 3-sphere using Pachner moves. We obtain an explicit exponential-type bound
on the number of Pachner moves needed for this process. This leads to a new
recognition algorithm for the 3-sphere.

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