Pruning theory and Thurston's classification of surface homeomorphisms

de 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 -