Pruning theory and Thurston's classification of surface homeomorphisms
Journal of the European Mathematical Society, Tome 3 (2001) no. 4, pp. 287-333
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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.
@article{JEMS_2001_3_4_a0,
author = {Andr\'e de Carvalho and Toby Hall},
title = {Pruning theory and {Thurston's} classification of surface homeomorphisms},
journal = {Journal of the European Mathematical Society},
pages = {287--333},
publisher = {mathdoc},
volume = {3},
number = {4},
year = {2001},
doi = {10.1007/s100970100034},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s100970100034/}
}
TY - JOUR AU - André de Carvalho AU - Toby Hall TI - Pruning theory and Thurston's classification of surface homeomorphisms JO - Journal of the European Mathematical Society PY - 2001 SP - 287 EP - 333 VL - 3 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s100970100034/ DO - 10.1007/s100970100034 ID - JEMS_2001_3_4_a0 ER -
%0 Journal Article %A André de Carvalho %A Toby Hall %T Pruning theory and Thurston's classification of surface homeomorphisms %J Journal of the European Mathematical Society %D 2001 %P 287-333 %V 3 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s100970100034/ %R 10.1007/s100970100034 %F JEMS_2001_3_4_a0
André de Carvalho; Toby Hall. Pruning theory and Thurston's classification of surface homeomorphisms. Journal of the European Mathematical Society, Tome 3 (2001) no. 4, pp. 287-333. doi: 10.1007/s100970100034
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