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A characterization of hereditarily indecomposable continua


Author: C. Wayne Proctor
Journal: Proc. Amer. Math. Soc. 34 (1972), 287-289
MSC: Primary 54F15
DOI: https://doi.org/10.1090/S0002-9939-1972-0295301-7
MathSciNet review: 0295301
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Abstract: Hereditarily indecomposable continua are characterized by giving a condition which some defining sequence for the continua must satisfy.


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

  • [1] Lida K. Barrett, The structure of decomposable snakelike continua, Duke Math. J. 28 (1961), 515-522. MR 24 #A2948. MR 0133114 (24:A2948)
  • [2] W. T. Ingram and H. Cook, A characterization of indecomposable compact continua, Topology Conference (Arizona State Univ., Tempe, Ariz., 1967), Arizona State Univ., Tempe, Ariz., 1968, pp. 168-169. MR 40 #6513. MR 0253298 (40:6513)
  • [3] R. L. Moore, Foundations of point set theory, rev. ed., Amer. Math. Soc. Colloq. Publ., vol. 13, Amer. Math. Soc., Providence, R.I., 1962. MR 27 #709. MR 0150722 (27:709)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0295301-7
Keywords: Hereditarily indecomposable continua
Article copyright: © Copyright 1972 American Mathematical Society

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