We review some properties of transverse disks and use symbolic dynamics to determine rotation vectors from the return map to a transverse disk. We also prove connections between the symbolic dynamics and Nielson equivalence of orbits.
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William Basener, Transverse disks, symbolic dynamics, homology direction vectors, and Thurston–Nielson theory, In Topology and its Applications, Volume 153, Issue 14, 2006, Pages 2760-2764, ISSN 0166-8641, https://doi.org/10.1016/j.topol.2006.03.025
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