Stability modulo singular sets

J. Iglesias, A. Portela, and A. Rovella. "Stability modulo singular sets." Fundamenta Mathematicae 204.2 (2009): 155-175. <http://eudml.org/doc/282751>.

@article{J2009,
abstract = {A new concept of stability, closely related to that of structural stability, is introduced and applied to the study of C¹ endomorphisms with singularities. A map that is stable in this sense is conjugate to each perturbation that is equivalent to it in a geometric sense. It is shown that this kind of stability implies Axiom A and Ω-stability, and that every critical point is wandering. A partial converse is also shown, providing new examples of C³ structurally stable maps.},
author = {J. Iglesias, A. Portela, A. Rovella},
journal = {Fundamenta Mathematicae},
keywords = {structural stability; critical points of maps; singular sets},
language = {eng},
number = {2},
pages = {155-175},
title = {Stability modulo singular sets},
url = {http://eudml.org/doc/282751},
volume = {204},
year = {2009},
}

TY - JOUR
AU - J. Iglesias
AU - A. Portela
AU - A. Rovella
TI - Stability modulo singular sets
JO - Fundamenta Mathematicae
PY - 2009
VL - 204
IS - 2
SP - 155
EP - 175
AB - A new concept of stability, closely related to that of structural stability, is introduced and applied to the study of C¹ endomorphisms with singularities. A map that is stable in this sense is conjugate to each perturbation that is equivalent to it in a geometric sense. It is shown that this kind of stability implies Axiom A and Ω-stability, and that every critical point is wandering. A partial converse is also shown, providing new examples of C³ structurally stable maps.
LA - eng
KW - structural stability; critical points of maps; singular sets
UR - http://eudml.org/doc/282751
ER -