Pregled bibliografske jedinice broj: 260708
Arcwise connected continua and Whitney maps
Arcwise connected continua and Whitney maps // Georgian mathematical journal, 12 (2005), 2; 321-330 doi:10.1515/GMJ.2005.321 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 260708 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Arcwise connected continua and Whitney maps
Autori
Lončar, Ivan
Izvornik
Georgian mathematical journal (1072-947X) 12
(2005), 2;
321-330
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
arcwise connected continuum ; 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-metric Hausdorff compact spaces 𝑋. On the other hand, there exist non-metric continua which admit and ones which do not admit a Whitney map for 𝐶(𝑋). In particular, a locally connected or a rimmetrizable continuum 𝑋 admits a Whitney map for 𝐶(𝑋) if and only if it is metrizable. In this paper we investigate the properties of continua 𝑋 which admit a Whitney map for 𝐶(𝑋) or for 𝐶2(𝑋).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037105
Ustanove:
Fakultet organizacije i informatike, Varaždin
Profili:
Ivan Lončar
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
