Glasnik matematički, Vol. 38 No. 2, 2003.
Izvorni znanstveni članak
A fan X admits a Whitney map for C(X) iff it is metrizable
Ivan Lončar
Sažetak
Let X be a non-metric continuum, and C(X) be the hyperspace of subcontinua of X. It is known that there is no Whitney map on the hyperspace 2X for non-metrizable Hausdorff compact spaces X. On the other hand, there exist non-metrizable continua which admit and ones which do not admit a Whitney map for C(X). In this paper we will show that a generalized fan X admits a Whitney map for C(X) if and only if it is metrizable.
Ključne riječi
Fan; hyperspace; inverse system; Whitney map
Hrčak ID:
1329
URI
Datum izdavanja:
1.12.2003.
Posjeta: 432 *