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A note on the existence of essential tribranched surfaces

Friedl, Stefan, Kitayama, Takahiro and Nagel, Matthias (2017) A note on the existence of essential tribranched surfaces. Topology and its Applications 225, pp. 75-82.

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Other URL: http://doi.org/10.1016/j.topol.2017.04.023


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. (C) 2017 Elsevier B.V. All rights reserved.

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Item type:Article
Mathematics > Prof. Dr. Stefan Friedl
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Keywords:INCOMPRESSIBLE SURFACES; 3-MANIFOLDS; 3-Manifolds; Essential surfaces; Open book decompositions
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39447
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