Pregled bibliografske jedinice broj: 581696
Non-metric rim-metrizable continua and unique hyperspace
Non-metric rim-metrizable continua and unique hyperspace // Publications de l'Institut Mathématique, 73(87) (2003), 97-113 (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
Non-metric rim-metrizable continua and unique hyperspace
Autori
Lončar, Ivan
Izvornik
Publications de l'Institut Mathématique (0350-1302) 73(87)
(2003);
97-113
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hyperspace; continuum; inverse system.
Sažetak
A class A of continua is said to be C-determined provided that if X, Y e A and C(X) homeomorphic C(Y), then X mhomeomorphic Y. A continuum X has unique hyperspace provided that if Y is a continuum and C(X) homeomorphic to C(Y), then X homeomorphic to Y. In the realm of metric continua the following classes of continua are known to have unique hyperspace: hereditaily indecomposable continua, smooth fans (in the class of fans) and indecomosable continua whose proper and non-degeneate subcontinua are arcs. We prove that these classes have unique hyperspace in the realm of rim-metrizable non-metic continua.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
