# Pruning theory and Thurston's classification of surface homeomorphisms

Journal of the European Mathematical Society (2001)

- Volume: 003, Issue: 4, page 287-333
- ISSN: 1435-9855

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topde Carvalho, André, and Hall, Toby. "Pruning theory and Thurston's classification of surface homeomorphisms." Journal of the European Mathematical Society 003.4 (2001): 287-333. <http://eudml.org/doc/277790>.

@article{deCarvalho2001,

abstract = {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.},

author = {de Carvalho, André, Hall, Toby},

journal = {Journal of the European Mathematical Society},

keywords = {surface homeomorphisms; graph endomorphisms; pruning theory; kneading theory; Thurston's classification theorem; surface homeomorphisms; graph endomorphisms; pruning theory; kneading theory; Thurston's classification theorem},

language = {eng},

number = {4},

pages = {287-333},

publisher = {European Mathematical Society Publishing House},

title = {Pruning theory and Thurston's classification of surface homeomorphisms},

url = {http://eudml.org/doc/277790},

volume = {003},

year = {2001},

}

TY - JOUR

AU - de Carvalho, André

AU - Hall, Toby

TI - Pruning theory and Thurston's classification of surface homeomorphisms

JO - Journal of the European Mathematical Society

PY - 2001

PB - European Mathematical Society Publishing House

VL - 003

IS - 4

SP - 287

EP - 333

AB - 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.

LA - eng

KW - surface homeomorphisms; graph endomorphisms; pruning theory; kneading theory; Thurston's classification theorem; surface homeomorphisms; graph endomorphisms; pruning theory; kneading theory; Thurston's classification theorem

UR - http://eudml.org/doc/277790

ER -

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