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arxiv: 1505.01806 · v1 · pith:7YGML6ZMnew · submitted 2015-05-07 · 🧮 math.GT

A note on the existence of essential tribranched surfaces

classification 🧮 math.GT
keywords essentialsurfacetribranchedmanifoldnotionadmitsauthorembedded
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The second author and Hara introduced the notion of an essential tribranched surface that is a generalisation of the notion of an essential embedded surface in a 3-manifold. We show that any 3-manifold for which the fundamental group has at least rank four admits an essential tribranched surface.

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