2001Fundamenta MathematicaeOpen access

Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua

Jarosław Kwapisz

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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

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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

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Available 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

Key concepts: Homotopy, Mathematics, Topological entropy, Class (philosophy), Whitehead theorem, Pure mathematics, n-connected, Topology (electrical circuits)

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