The solenoids are the only circle-like continua that admit expansive homeomorphisms
Fundamenta Mathematicae (2009)
- Volume: 205, Issue: 3, page 237-264
- ISSN: 0016-2736
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topChristopher Mouron. "The solenoids are the only circle-like continua that admit expansive homeomorphisms." Fundamenta Mathematicae 205.3 (2009): 237-264. <http://eudml.org/doc/283270>.
@article{ChristopherMouron2009,
abstract = {A homeomorphism h:X → X of a compactum X is expansive provided that for some fixed c > 0 and any distinct x, y ∈ X 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 circle-like continuum that admits an expansive homeomorphism, then X is homeomorphic to a solenoid.},
author = {Christopher Mouron},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {3},
pages = {237-264},
title = {The solenoids are the only circle-like continua that admit expansive homeomorphisms},
url = {http://eudml.org/doc/283270},
volume = {205},
year = {2009},
}
TY - JOUR
AU - Christopher Mouron
TI - The solenoids are the only circle-like continua that admit expansive homeomorphisms
JO - Fundamenta Mathematicae
PY - 2009
VL - 205
IS - 3
SP - 237
EP - 264
AB - A homeomorphism h:X → X of a compactum X is expansive provided that for some fixed c > 0 and any distinct x, y ∈ X 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 circle-like continuum that admits an expansive homeomorphism, then X is homeomorphic to a solenoid.
LA - eng
UR - http://eudml.org/doc/283270
ER -
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