Geodesic
Homeomorphisms of composants of Knaster continua
Sonja Štimac1
1 Faculty of Economics University of Zagreb Kennedyev trg 6 10000 Zagreb, Croatia
Fundamenta Mathematicae, Tome 171 (2002) no. 3, pp. 267-278

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 then prove that, for any integer $p \ge 2$, all composants of $K_p$ having no endpoints are homeomorphic. This generalizes Bandt's result which concerns the case $p=2$.
DOI : 10.4064/fm171-3-6
Keywords: knaster continuum defined inverse limit pth degree tent map every composant knaster continuum introduce order consider special points composant these describe structure composants prove integer composants having endpoints homeomorphic generalizes bandts result which concerns

Sonja Štimac 1

1 Faculty of Economics University of Zagreb Kennedyev trg 6 10000 Zagreb, Croatia 
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Sonja Štimac. Homeomorphisms of composants of Knaster continua. Fundamenta Mathematicae, Tome 171 (2002) no. 3, pp. 267-278. doi: 10.4064/fm171-3-6

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