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
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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