Naslov
Hyperspaces which are products or cones

Autori
Lončar, Ivan

Izvornik
Mathematical communications (1331-0623) 6 (2001); 199-215

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

Ključne riječi
Hyperspace; inverse system

Sažetak
Let C(X) be the hyperspace of all subcontinua of a metric continuum X. Alejandro Illanes has proved that C(X) is a finite dimensional Cartesian product if and only if X is an arc or a circle. In this paper we shall prove, using the inverse systems and limits, that if X is a non-metric rim-metrizable continuum and C(X) is a finite dimensional Cartesian product, then X is a generalized arc or a generalized circle. It is also proved that if X is a non-metric continuum such that dim(X) < ∞ and such that X has the cone = hyperspace property, then X is a generalized arc, a generalized circle, or an indecomposable continuum such that each nondegenerate proper subcontinuum of X is a generalized arc.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA