The classification of circle-like continua that admit expansive homeomorphisms

Christopher Mouron. "The classification of circle-like continua that admit expansive homeomorphisms." Fundamenta Mathematicae 211.2 (2011): 101-133. <http://eudml.org/doc/282882>.

@article{ChristopherMouron2011,
abstract = {A homeomorphism h: X → X of a compactum X is expansive provided that for some fixed c > 0 and every x, y ∈ X (x ≠ y) there exists an integer n, dependent only on x and y, such that d(hⁿ(x),hⁿ(y)) > c. It is shown that if X is a solenoid that admits an expansive homeomorphism, then X is homeomorphic to a regular solenoid. It can then be concluded that a circle-like continuum admits an expansive homeomorphism if and only if it is homeomorphic to a regular solenoid.},
author = {Christopher Mouron},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {2},
pages = {101-133},
title = {The classification of circle-like continua that admit expansive homeomorphisms},
url = {http://eudml.org/doc/282882},
volume = {211},
year = {2011},
}

TY - JOUR
AU - Christopher Mouron
TI - The classification of circle-like continua that admit expansive homeomorphisms
JO - Fundamenta Mathematicae
PY - 2011
VL - 211
IS - 2
SP - 101
EP - 133
AB - A homeomorphism h: X → X of a compactum X is expansive provided that for some fixed c > 0 and every x, y ∈ X (x ≠ y) there exists an integer n, dependent only on x and y, such that d(hⁿ(x),hⁿ(y)) > c. It is shown that if X is a solenoid that admits an expansive homeomorphism, then X is homeomorphic to a regular solenoid. It can then be concluded that a circle-like continuum admits an expansive homeomorphism if and only if it is homeomorphic to a regular solenoid.
LA - eng
UR - http://eudml.org/doc/282882
ER -