Homotopy and dynamics for homeomorphisms of solenoidsand Knaster continua
Fundamenta Mathematicae, Tome 168 (2001) no. 3, pp. 251-278
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
describe homotopy classes self homeomorphisms solenoids knaster continua particular demonstrate homeomorphisms within homotopy class have explicitly given topological entropy actually semi conjugate algebraic homeomorphism entropy positive
Affiliations des auteurs :
Jarosław Kwapisz 1
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author = {Jaros{\l}aw Kwapisz},
title = {Homotopy and dynamics for homeomorphisms of solenoidsand {Knaster} continua},
journal = {Fundamenta Mathematicae},
pages = {251--278},
publisher = {mathdoc},
volume = {168},
number = {3},
year = {2001},
doi = {10.4064/fm168-3-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm168-3-3/}
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TY - JOUR AU - Jarosław Kwapisz TI - Homotopy and dynamics for homeomorphisms of solenoidsand Knaster continua JO - Fundamenta Mathematicae PY - 2001 SP - 251 EP - 278 VL - 168 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm168-3-3/ DO - 10.4064/fm168-3-3 LA - en ID - 10_4064_fm168_3_3 ER -
Jarosław Kwapisz. Homotopy and dynamics for homeomorphisms of solenoidsand Knaster continua. Fundamenta Mathematicae, Tome 168 (2001) no. 3, pp. 251-278. doi: 10.4064/fm168-3-3
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