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math.GT2009★ 16 cited
Roots in 3-manifold topology
Cynthia Hog-Angeloni, Sergei Matveev
Let C be some class of objects equipped with a set of simplifying moves. When we apply these to a given object M in C as long as possible, we get a root of M. Our main result is th…
math.GT2005★ 2 cited
Roots of 3-manifolds and cobordisms
C. Hog-Angeloni, S. Matveev
Given a set of simplifying moves on 3-manifolds, we apply them to a given 3-manifold M as long as possible. What we get is a root of M. For us, it makes sense to consider three typ…