Simply cyclic homogeneous non-tree-like curves decompose to solenoids
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- by James T. Rogers
- Proc. Amer. Math. Soc. 108 (1990), 1059-1062
- DOI: https://doi.org/10.1090/S0002-9939-1990-1002164-1
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Abstract:
It is proved that if a one-dimensional, cyclic, homogeneous continuum $X$ is the inverse limit of graphs each of which contains only one cycle, then $X$ is a solenoid or $X$ admits a decomposition into mutually homeomorphic, homogeneous, tree-like continua with quotient space a solenoid.References
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Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 1059-1062
- MSC: Primary 54F20; Secondary 54F50
- DOI: https://doi.org/10.1090/S0002-9939-1990-1002164-1
- MathSciNet review: 1002164