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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An elementary proof of a theorem of S. Mardešić
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by Jacek Nikiel PDF
Proc. Amer. Math. Soc. 101 (1987), 385-386 Request permission

Abstract:

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.
References
  • Ryszard Engelking, Topologia ogólna, Państwowe Wydawnictwo Naukowe, Warsaw, 1975 (Polish). Biblioteka Matematyczna, Tom 47. [Mathematics Library. Vol. 47]. MR 0500779
  • John G. Hocking and Gail S. Young, Topology, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1961. MR 0125557
  • Sibe Mardešić, Locally connected ordered and chainable continua, Rad Jugoslav. Akad. Znan. Umjet. Odjel Mat. Fiz. Tehn. Nauke 319 (1961), 147–166 (Serbo-Croatian, with English summary). MR 0148036
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 101 (1987), 385-386
  • MSC: Primary 54B25; Secondary 54F05
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0902546-X
  • MathSciNet review: 902546