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A characterization of hereditarily indecomposable continua


Authors: Albert L. Crawford and John Jobe
Journal: Proc. Amer. Math. Soc. 27 (1971), 205-208
MSC: Primary 57.55
DOI: https://doi.org/10.1090/S0002-9939-1971-0283830-0
MathSciNet review: 0283830
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Abstract: In this paper a characterization of a hereditarily indecomposable continuum is stated and proved. The motivation for this characterization is a theorem in a recent article by John Jobe.


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

  • [1] John Jobe, The intersection of indecomposable continua, Proc. Amer. Math. Soc. 23 (1969), 623-624. MR 40 #877. MR 0247613 (40:877)
  • [2] J. L. Kelley, Hyperspaces of a continuum, Trans. Amer. Math. Soc. 52 (1942), 22-36. MR 3, 315. MR 0006505 (3:315b)
  • [3] K. Kuratowski, Topologie. Vol. 2, Monografie Mat., Tom 21, PWN, Warsaw, 1961; English transl., Academic Press, New York; PWN, Warsaw, 1969. MR 24 #A2958. MR 0349918 (50:2411)
  • [4] William R. Zame, A characterization of hereditarily indecomposable continua, Proc. Amer. Math. Soc. 17 (1966), 709-710. MR 33 #3274. MR 0195069 (33:3274)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0283830-0
Keywords: Hereditarily indecomposable continuum, pseudo-arc, Brouwer continuum
Article copyright: © Copyright 1971 American Mathematical Society

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