Journal
GEOMETRY & TOPOLOGY
Volume 22, Issue 2, Pages 893-948Publisher
GEOMETRY & TOPOLOGY PUBLICATIONS
DOI: 10.2140/gt.2018.22.893
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In the third part of this series of papers, we establish several topological results that will become important for studying the long-time behavior of Ricci flows with surgery. In the first part of this paper we recall some elementary observations in the topology of 3-manifolds. The main part is devoted to the construction of certain simplicial complexes in a given 3-manifold that exhibit useful intersection properties with embedded, incompressible solid tori. This paper is purely topological in nature and Ricci flows will not be used.
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