Mathematical Research Letters

Volume 1 (1994)

Number 5

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

Pages: 613 – 630

DOI: http://dx.doi.org/10.4310/MRL.1994.v1.n5.a9

Author

Abigail Thompson (University of California at Davis)

Abstract

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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