Atriodic homogeneous nondegenerate continua are one-dimensional
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- by James T. Rogers PDF
- Proc. Amer. Math. Soc. 102 (1988), 191-192 Request permission
Abstract:
C. L. Hagopian [3] has shown that atriodic, homogeneous, nondegenerate continua are one-dimensional. This answered a question of Maćkowiak and Tymchatyn [4]. We use a decomposition theorem to get a quick proof of this.References
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- Charles L. Hagopian, Atriodic homogeneous continua, Pacific J. Math. 113 (1984), no. 2, 333–347. MR 749539, DOI 10.2140/pjm.1984.113.333 T. Maćkowiak and E. D. Tymchatyn, Continuous mappings on continua. II, Dissertationes Math. 225 (1983).
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 191-192
- MSC: Primary 54F20,; Secondary 54F50
- DOI: https://doi.org/10.1090/S0002-9939-1988-0915742-3
- MathSciNet review: 915742