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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 2, Pages 109-119
doi:10.1155/S016117120000363X

ℵ1-directed inverse systems of continuous images of arcs

Ivan Lončar

Faculty of Organization and Informatics, Pavlinska 2, Vara{z}din, Croatia

Abstract

The main purpose of this paper is to prove that if X={Xa,pab,A} is a usual ℵ1-directed inverse system of continuous images of arcs with monotone bonding mappings, then X=limX is a continuous image of an arc (Theorem 2.4). Some applications of this statement are also given.