A note on the existence of essential tribranched surfaces

Zusammenfassung

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.