Pregled bibliografske jedinice broj: 581686
Arc-smooth continuum X admits a Whitney map for C(X) iff it is metrizable
Arc-smooth continuum X admits a Whitney map for C(X) iff it is metrizable // JP journal of geometry and topology, 4 (2004), 13-21 (podatak o recenziji nije dostupan, članak, znanstveni)
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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);
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-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 particular, locally connected or rim-metrizable continuum admits a Whitney map if and only if it is metrizable. In this paper we will show that an arc-smooth continuum X admits a Whitney map for C(X) if and only if it is metrizable.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
