Mathematical Research Letters

Volume 1, Issue 5, September 1994 pp. 613-630.

Thin Position and the Recognition Problem for $\bold{S^3}$

Authors: Abigail Thompson
Author institution: University of California, Davis

Summary: We describe a modified version of Rubinstein's algorithm to detect the 3-sphere and use thin position combined with standard 3-manifold techniques to prove that the algorithm works.

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