Naslov
Arc-smooth continuum X admits a Whitney map for C(X) iff it is metrizable

Autori
Lončar, Ivan

Izvornik
JP journal of geometry and topology (0972-415X) 4 (2004), 1; 13-21

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

Ključne riječi
arc-smooth continuum; arboroid; hyperspace; inverse system; Whitney map

Sažetak
Let X be a non-metrizable continuum, and C(X) be the hyperspace of subcontinua of X. It is known that there is no Whitney map on the hyperspace 2^X 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 particular, locally connected or rim-metrizable continuum admits a Whitney map iff it is metrizable. In this paper we shaw that an arc-smooth continuum admits a Whitney map for C(X) iff it is metrizable.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA