Homotopy and dynamics for homeomorphisms of solenoidsand Knaster continua
Volume 168 / 2001
Fundamenta Mathematicae 168 (2001), 251-278
MSC: Primary 37B40, 37B45; Secondary 28D20, 54H20.
DOI: 10.4064/fm168-3-3
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.
