| Abstract: |
The main purpose of this paper is to prove some theorems concerning inverse systems and limits of continuous images of arcs. In particular, we shall prove that if X = {Xa,Pab,A} is an inverse system of continuous images of arcs with monotone bonding mappings such that cf(card(A)) [not equal] [omega]1, then X = lim X is a continuous image of an arc if and only if each proper subsystem {Xa,Pab,B} of X with cf(card(B)) = [omega]1 has the limit which is a continuous image of an arc (Theorem 18). |
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