Pruning theory and Thurston's classification of surface homeomorphisms | Zendy

André de Carvalho | Zendy; Toby Hall | Zendy

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Pruning theory and Thurston's classification of surface homeomorphisms

Author(s) -

André de Carvalho,

Toby Hall

Publication year - 2001

Publication title -

journal of the european mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.549

H-Index - 64

eISSN - 1435-9863

pISSN - 1435-9855

DOI - 10.1007/s100970100034

Subject(s) - mathematics , surface (topology) , pruning , pure mathematics , combinatorics , algebra over a field , geometry , botany , biology

. 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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