ℵ1-directed inverse systems of continuous images of arcs

Lončar, Ivan

doi:https://doi.org/10.1155/S016117120000363X

International Journal of Mathematics and Mathematical Sciences

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Volume 24 |Article ID 127457 | https://doi.org/10.1155/S016117120000363X

Ivan Lončar, "ℵ1-directed inverse systems of continuous images of arcs", International Journal of Mathematics and Mathematical Sciences, vol. 24, Article ID 127457, 11 pages, 2000. https://doi.org/10.1155/S016117120000363X

ℵ1-directed inverse systems of continuous images of arcs

Ivan Lončar¹

¹Faculty of Organization and Informatics, Pavlinska 2, Varaždin, Croatia

Received08 Jul 1999

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.

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Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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