Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua
Jarosław Kwapisz
Fundamenta Mathematicae, Tome 167 (2001), p. 251-278 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:281794 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm168-3-3,
     author = {Jaros\l aw Kwapisz},
     title = {Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua},
     journal = {Fundamenta Mathematicae},
     volume = {167},
     year = {2001},
     pages = {251-278},
     zbl = {0984.37018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm168-3-3}
}

Jarosław Kwapisz. Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua. Fundamenta Mathematicae, Tome 167 (2001) pp. 251-278. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm168-3-3/