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arXiv:2102.12402 [math.DS]AbstractReferencesReviewsResources

On the pullback relation on curves induced by a Thurston map

Kevin M. Pilgrim

Published 2021-02-24Version 1

Via taking connected components of preimages, a Thurston map $f: (S^2, P_f) \to (S^2, P_f)$ induces a pullback relation on the set of isotopy classes of curves in the complement of its postcritical set $P_f$. We survey known results about the dynamics of this relation, and pose some questions.

Comments: 12 pages, 1 figure
Categories: math.DS
Subjects: 37F20
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