ℵ 1 -directed inverse systems of continuous images of arcs

Ivan Lončar

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-11

Abstract:

The main purpose of this paper is to prove that if X = { X a , p a b , A } is a usual ℵ 1 -directed inverse system of continuous images of arcs with monotone bonding mappings, then X = lim X is a continuous image of an arc (Theorem 2.4). Some applications of this statement are also given.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:127457

DOI: 10.1155/S016117120000363X

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