Homeomorphisms of composants of Knaster continua

• Autorzy: Sonja Štimac
• Języki publikacji: EN

Abstrakty

EN

The Knaster continuum $K_p$ is defined as the inverse limit of the pth 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 then prove that, for any integer p ≥ 2, all composants of $K_p$ having no endpoints are homeomorphic. This generalizes Bandt's result which concerns the case p = 2.

Kategorie tematyczne

• 37B45: Continua theory in dynamics
• 37B10: Symbolic dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 171
• Numer: 3
• Strony: 267-278

Daty

wydano

2002

Twórcy

autor

Sonja Štimac

• Faculty of Economics, University of Zagreb, Kennedyev trg 6, 10000 Zagreb, Croatia

Identyfikatory

DOI

10.4064/fm171-3-6