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
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