Shadowing and expansivity in subspaces

Andrew D. Barwell, Chris Good, and Piotr Oprocha. "Shadowing and expansivity in subspaces." Fundamenta Mathematicae 219.3 (2012): 223-243. <http://eudml.org/doc/282671>.

@article{AndrewD2012,
abstract = {We address various notions of shadowing and expansivity for continuous maps restricted to a proper subset of their domain. We prove new equivalences of shadowing and expansive properties, we demonstrate under what conditions certain expanding maps have shadowing, and generalize some known results in this area. We also investigate the impact of our theory on maps of the interval.},
author = {Andrew D. Barwell, Chris Good, Piotr Oprocha},
journal = {Fundamenta Mathematicae},
keywords = {pseudo-orbit tracing; shadowing; expansivity; expansive map; expanding map; interval map},
language = {eng},
number = {3},
pages = {223-243},
title = {Shadowing and expansivity in subspaces},
url = {http://eudml.org/doc/282671},
volume = {219},
year = {2012},
}

TY - JOUR
AU - Andrew D. Barwell
AU - Chris Good
AU - Piotr Oprocha
TI - Shadowing and expansivity in subspaces
JO - Fundamenta Mathematicae
PY - 2012
VL - 219
IS - 3
SP - 223
EP - 243
AB - We address various notions of shadowing and expansivity for continuous maps restricted to a proper subset of their domain. We prove new equivalences of shadowing and expansive properties, we demonstrate under what conditions certain expanding maps have shadowing, and generalize some known results in this area. We also investigate the impact of our theory on maps of the interval.
LA - eng
KW - pseudo-orbit tracing; shadowing; expansivity; expansive map; expanding map; interval map
UR - http://eudml.org/doc/282671
ER -