A criterion for homeomorphism between closed Haken manifolds
Pierre Derbez
Abstract
In this paper we consider two connected closed Haken manifolds denoted by M3 and N3, with the same Gromov simplicial volume. We give a simple homological criterion to decide when a given map f: M3-->N3 between M3 and N3 can be changed by a homotopy to a homeomorphism. We then give a convenient process for constructing maps between M3 and N3 satisfying the homological hypothesis of the map f.
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