Naslov
Inverse limit of continuous images of arcs

Autori
Lončar, Ivan

Izvornik
Zbornik radova (Fakultet organizacije i nformatike Varaždin) (0351-1804) 21 (1997), 2; 47-59

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

Ključne riječi
inverse system limit; continuous image of an arc

Sažetak
The main purpose of this paper is to study the inverse limits of continuous image of arcs. We shall prove: a) If X = (Xa, pab, A) is a monotone well – order inverse system of contonuous image of arcs such that cf(A) not equal omega 1, then X = lim X is the continuous imege of an erc (Theorem 2.17). b) b) Let X = (Xa, pab, ( A, less or equal)) be an inverse system of continuous image of arcs with monotone surjective bonding mappings. Then X = limX is the continuous image of an arc if and only if for each cyclic element Z of X and the points x, y, z elements of Z there exists a countable direct subset (B, less or equal) of (A, less or equal) such that for each countable direct subset (C, less or equal) of (A, less or equal) with B subset of C the restriction hBC = pBC|lim(Wd(x,y,z),pdd1,D) of the canonical projection pBC is a homeomorphism (Theorem 2.22).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA