A note on the existence of essential tribranched surfaces

Friedl, Stefan and Kitayama, Takahiro and Nagel, Matthias (2017) A note on the existence of essential tribranched surfaces. TOPOLOGY AND ITS APPLICATIONS, 225. pp. 75-82. ISSN 0166-8641, 1879-3207

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: INCOMPRESSIBLE SURFACES; 3-MANIFOLDS; 3-Manifolds; Essential surfaces; Open book decompositions
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Stefan Friedl
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:16
Last Modified: 18 Feb 2019 11:54
URI: https://pred.uni-regensburg.de/id/eprint/1657

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