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A fan X admits a Whitney map for C(X) iff it is metrizable

Ivan Lončar

Puni tekst: engleski, pdf (597 KB) str. 395-411 preuzimanja: 31* citiraj
APA 6th Edition
Lončar, I. (2003). A fan X admits a Whitney map for C(X) iff it is metrizable. Glasnik matematički, 38 (2), 395-411. Preuzeto s https://hrcak.srce.hr/1329
MLA 8th Edition
Lončar, Ivan. "A fan X admits a Whitney map for C(X) iff it is metrizable." Glasnik matematički, vol. 38, br. 2, 2003, str. 395-411. https://hrcak.srce.hr/1329. Citirano 25.10.2021.
Chicago 17th Edition
Lončar, Ivan. "A fan X admits a Whitney map for C(X) iff it is metrizable." Glasnik matematički 38, br. 2 (2003): 395-411. https://hrcak.srce.hr/1329
Harvard
Lončar, I. (2003). 'A fan X admits a Whitney map for C(X) iff it is metrizable', Glasnik matematički, 38(2), str. 395-411. Preuzeto s: https://hrcak.srce.hr/1329 (Datum pristupa: 25.10.2021.)
Vancouver
Lončar I. A fan X admits a Whitney map for C(X) iff it is metrizable. Glasnik matematički [Internet]. 2003 [pristupljeno 25.10.2021.];38(2):395-411. Dostupno na: https://hrcak.srce.hr/1329
IEEE
I. Lončar, "A fan X admits a Whitney map for C(X) iff it is metrizable", Glasnik matematički, vol.38, br. 2, str. 395-411, 2003. [Online]. Dostupno na: https://hrcak.srce.hr/1329. [Citirano: 25.10.2021.]

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
https://hrcak.srce.hr/1329

Posjeta: 191 *