Peripherally compact tree-like spaces are continuum-wise connected
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- by Ralph Bennett PDF
- Proc. Amer. Math. Soc. 39 (1973), 441-442 Request permission
Abstract:
The theorem stated in the title is proved, and examples are given to show the need for both peripheral compactness and tree-likeness.References
- G. L. Gurin, Tree-like spaces, Vestnik Moskov. Univ. Ser. I Mat. Meh. 24 (1969), no. 1, 9–12 (Russian, with English summary). MR 0253297
- V. V. Proizvolov, Peripherally bicompact tree-like spaces, Dokl. Akad. Nauk SSSR 189 (1969), 724–727 (Russian). MR 0257982
- V. V. Proizvolov, The hereditary and collective normality of a peripherally bicompact tree-like space, Dokl. Akad. Nauk SSSR 193 (1970), 1000–1003 (Russian). MR 0273577
- Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 441-442
- MSC: Primary 54F20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0315679-6
- MathSciNet review: 0315679