Naslov
Relationships Between Usual and Approximate Inverse Systems

Autori
Lončar, Ivan

Izvornik
Matematički Vesnik (0025-5165) 52 (2000), 3-4; 83-97

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
approximate inverse system ; usual inverse system

Sažetak
We shall prove that if XX={;X_a, p_ab, A}; is an approximate inverse system of compact non-metric spaces with surjective bonding mappings p_ab such that each X_a is a limit of a usual t-directed inverse system XX(a)={;X_(a, g), f_(a, g)(a, e), G_a}; of metric compact spaces, then there exist: 1) a usual t-directed inverse system XX_D={;X_d, F_de, D}; whose inverse limit X_D is homeomorphic to X=lim XX ; 2) every X_dis a limit of an approximate inverse system {;X_(a, g_a), h_(a, g_a)(b, g_b), A}; of compact metric spaces X_(a, g_a) ; 3) if the mappings p_ab and f_(a, g)(a, e) are monotone, then h(a, g_a)(b, g_b) and F_de are monotone.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Veterinarska medicina

POVEZANOST RADA