Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua
Fundamenta Mathematicae (2001)
- Volume: 168, Issue: 3, page 251-278
- ISSN: 0016-2736
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topJarosław Kwapisz. "Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua." Fundamenta Mathematicae 168.3 (2001): 251-278. <http://eudml.org/doc/281794>.
@article{JarosławKwapisz2001,
abstract = {We describe the homotopy classes of self-homeomorphisms of solenoids and Knaster continua. In particular, we demonstrate that homeomorphisms within one homotopy class have the same (explicitly given) topological entropy and that they are actually semi-conjugate to an algebraic homeomorphism in the case when the entropy is positive.},
author = {Jarosław Kwapisz},
journal = {Fundamenta Mathematicae},
keywords = {homotopy class; topological entropy; solenoid},
language = {eng},
number = {3},
pages = {251-278},
title = {Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua},
url = {http://eudml.org/doc/281794},
volume = {168},
year = {2001},
}
TY - JOUR
AU - Jarosław Kwapisz
TI - Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua
JO - Fundamenta Mathematicae
PY - 2001
VL - 168
IS - 3
SP - 251
EP - 278
AB - We describe the homotopy classes of self-homeomorphisms of solenoids and Knaster continua. In particular, we demonstrate that homeomorphisms within one homotopy class have the same (explicitly given) topological entropy and that they are actually semi-conjugate to an algebraic homeomorphism in the case when the entropy is positive.
LA - eng
KW - homotopy class; topological entropy; solenoid
UR - http://eudml.org/doc/281794
ER -
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