A Note on Topologically-Trivial Braids
Orlin Stoytchev
TL;DR
This paper provides a straightforward way to identify braids that can be untangled without disturbing the overall connection of their upper and lower ends.
Contribution
It introduces a simple characterization criterion for topologically-trivial braids that can be unplaited while keeping their ends fixed.
Findings
Characterization criterion for trivial braids
Simplifies the process of identifying unplaitable braids
Applicable to braids with fixed endpoints
Abstract
We give a simple characterization of braids that can be unplaited keeping separately their upper ends and their lower ends tied together
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory