engleski

Homeomorphisms of composants of Knaster continua

The Knaster continuum K_p is defined as the inverse limit of the p-th degree tent map. On every composant of the Knaster continuum we introduce an order and we consider some special points of the composant. These are used to describe the structure of the composants. We than prove that, for any integer p>1, all composants of K_p having no endpoints are homeomorphic. This generalizes Bandt's result which concerns the case p=2.

Knaster continuum; composant; tent map.

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