The forcing relation for horseshoe braid types.
Unimodal generalized pseudo-Anosov maps.
Pruning theory and Thurston's classification of surface homeomorphisms
Two dynamical deformation theories are presented – one for surface homeomorphisms, called pruning, and another for graph endomorphisms, called kneading – both giving conditions under which all of the dynamics in an open set can be destroyed, while leaving the dynamics unchanged elsewhere. The theories are related to each other and to Thurston’s classification of surface homeomorphisms up to isotopy.
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