Waldhausen's virtual Haken conjecture

Let MM be an orientable, irreducible closed 33-manifold with infinite fundamental group. Waldhausen's virtual Haken conjecture. MM is finitely covered by a Haken manifold. This is one of several conjectures motivated by Waldhausen's work and Thurston's Geometrization Conjecture; the source provides no resolution status.

Sources & referencesView supporting material

Primary source

Tim D. Cochran and Joseph D. Masters, “The Growth Rate of the First Betti Number in Abelian Covers of 3-Manifolds”, arXiv:math/0508294 (2005).

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