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Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua

Jarosław Kwapisz (2001)

Fundamenta Mathematicae

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.

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