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Another locally connected Hausdorff continuum not connected by ordered continua


Authors: J. L. Cornette and B. Lehman
Journal: Proc. Amer. Math. Soc. 35 (1972), 281-284
MSC: Primary 54F15; Secondary 54D05, 54F05
DOI: https://doi.org/10.1090/S0002-9939-1972-0307200-2
MathSciNet review: 0307200
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Abstract: An example is given of a locally connected Hausdorff continuum which is not connected by ordered continua.


References [Enhancements On Off] (What's this?)

  • [1] J. L. Kelley, General topology, Van Nostrand, Princeton, N.J., 1955. MR 16, 1136. MR 0070144 (16:1136c)
  • [2] S. Mardešić, On the Hahn-Mazurkiewicz theorem in nonmetric spaces, Proc. Amer. Math. Soc. 11 (1960), 927-937. MR 22 #8464. MR 0117688 (22:8464)
  • [3] -, A locally connected continuum which contains no proper locally connected subcontinuum, Glasnik Mat. Ser. III 2 (22) (1967), 167-178. MR 36 #4526. MR 0221474 (36:4526)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0307200-2
Keywords: Locally connected, ordered continua, arcwise connected
Article copyright: © Copyright 1972 American Mathematical Society

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