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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Local cut-points in continuous images of compact ordered spaces
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by Ryuji Maehara
Proc. Amer. Math. Soc. 99 (1987), 760-764
DOI: https://doi.org/10.1090/S0002-9939-1987-0877053-3

Abstract:

We prove that if a continuum $X$ is continuous image of a compact ordered space and if $X$ is not locally separable at a point $x$, then $x$ lies in the closure of the set of all local cut-points of $X$.
References
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Bibliographic Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 99 (1987), 760-764
  • MSC: Primary 54F25; Secondary 54F05
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0877053-3
  • MathSciNet review: 877053