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An elementary proof of a theorem of S. Mardešić

Author: Jacek Nikiel
Journal: Proc. Amer. Math. Soc. 101 (1987), 385-386
MSC: Primary 54B25; Secondary 54F05
MathSciNet review: 902546
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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 [Enhancements On Off] (What's this?)

  • [1] R. Engelking, General topology, PWN, Polish Scientific Publishers, Warsaw, 1977. MR 0500780 (58:18316b)
  • [2] J. G. Hocking and G. S. Young, Topology, Addison-Wesley, Reading, Mass., 1961. MR 0125557 (23:A2857)
  • [3] S. Mardešić, Locally connected, ordered and chainable continua (in Serbo-Croatian, English summary), Rad Jugoslav. Akad. Znan. Umjet. Odjel Mat. Fiz. Tehn. Nauke 319 (1961), 147-166; Math. Reviews 26 (1963), 5545. MR 0148036 (26:5545)

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Keywords: Arc, inverse system, monotone map
Article copyright: © Copyright 1987 American Mathematical Society

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