Naslov
Homeomorphisms of composants of Knaster continua

Autori
Štimac, Sonja

Izvornik
Fundamenta Mathematicae (0016-2736) 171 (2002); 267-278

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Knaster continuum; composant; tent map.

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA