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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
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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