Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Orbits of higher-dimensional hereditarily indecomposable continua
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by James T. Rogers
Proc. Amer. Math. Soc. 95 (1985), 483-486
DOI: https://doi.org/10.1090/S0002-9939-1985-0806092-1

Abstract:

Let $X$ be a continuum. The following theorems are proved. Theorem. If $\dim X > 1$, then $X$ contains uncountably many nonhomeomorphic continua. Theorem. If $\dim X > 1$ and $X$ is hereditarily indecomposable, then $X$ has uncountably many orbits under the action of its homeomorphism group.
References
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Bibliographic Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 95 (1985), 483-486
  • MSC: Primary 54F20; Secondary 54F45, 54F50
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0806092-1
  • MathSciNet review: 806092