Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua
Jarosław Kwapisz
Abstract
Open-access reader
Jarosław Kwapisz
Abstract
Open-access reader
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
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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
Key concepts: Homotopy, Mathematics, Topological entropy, Class (philosophy), Whitehead theorem, Pure mathematics, n-connected, Topology (electrical circuits)