Pregled bibliografske jedinice broj: 581812
A note on a Whitney map for continua
A note on a Whitney map for continua // Mathematical communications, 6 (2001), 1-9 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 581812 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A note on a Whitney map for continua
Autori
Lončar, Ivan
Izvornik
Mathematical communications (1331-0623) 6
(2001);
1-9
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Continuum; hyperspace; inverse system
Sažetak
Let X be a non-metric continuum, and C(X) the hyper space of subcontinua of X. It is known that there is no Whitney map on the hyper space 2X for non-metrizable Hausdorff compact spaces X. On the other hand, there exist non-metrizable continua which admit and the ones which do not admit a Whitney map for C(X). In this paper we investigate the properties of non-metrizable continua which admit a Whitney map and the ones which do not admit a Whitney map for C(X). It is shown that there is no Whitney map on the hyperspace C(X) if X is a non-metrizable locally connected or rim-metrizable continuum.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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