An Elementary Proof of a Theorem of S. Mardešić

A simple proof is given of the following theorem of S. Mardešić: Each arc is an inverse limit of some inverse system of copies of [ 0, 1 ] with monotone bonding maps.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1987, Vol.101 (2), p.385-386
Main Author: Nikiel, Jacek
Format: Article
Language:English
Subjects:
Mathematical induction
Mathematical monotonicity
Mathematical theorems
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Description
Summary:A simple proof is given of the following theorem of S. Mardešić: Each arc is an inverse limit of some inverse system of copies of [ 0, 1 ] with monotone bonding maps.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-1987-0902546-X