Isomorphisms and Homeomorphisms of a Class of Graphs and Spaces

Details Isomorphisms and Homeomorphisms of a Class of Graphs and Spaces Isomorphisms and Homeomorphisms of a Class of Graphs and Spaces

2001-02-18

arxiv.org/abs/math/0102139v1

Mathematics

Geometric Topology

22 pages, 2 figures, to appear in Aequationes Mathematicae

Scientific paper

We solve the isomorphism problem for the whole class of Lins-Mandel gems (graphs encoded manifolds). We also present certain homeomorphisms of branched cyclic coverings of two-bridge hyperbolic links. As a consequence, we prove that, in in a wide subset of interesting cases, the isomorphism conditions for Lins-Mandel gems are equivalent to the homeomorphism conditions for the encoded 3-manifolds.

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