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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Continuous images of arcs


Author: Jacek Nikiel
Journal: Proc. Amer. Math. Soc. 103 (1988), 961-968
MSC: Primary 54F25; Secondary 54B25, 54C05
DOI: https://doi.org/10.1090/S0002-9939-1988-0947691-9
MathSciNet review: 947691
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Abstract: A characterization of continuous images of (Hausdorff) arcs is used to describe their cyclic elements as inverse limits of inverse systems of 'nice' spaces with 'nice' bonding mappings.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0947691-9
Keywords: Arc, cyclic element, Hahn-Mazurkiewicz theorem, inverse limit, monotone mapping
Article copyright: © Copyright 1988 American Mathematical Society