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Bibliographic Details
Main Authors: Elbracht, Christian, Kneip, Jay Lilian, Teegen, Maximilian
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2011.09758
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Table of Contents:
  • We demonstrate the versatility of the tangle-tree duality theorem for abstract separation systems by using it to prove tree-of-tangles theorems. This approach allows us to strengthen some of the existing tree-of-tangles theorems by bounding the node degrees in them. We also present a slight strengthening and simplified proof of the duality theorem, which allows us to derive a tree-of-tangles theorem also for tangles of different orders.