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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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$\sigma$-coherent continua are hereditarily locally connected
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by M. R. Hagan and W. S. Mahavier PDF
Proc. Amer. Math. Soc. 81 (1981), 129-132 Request permission

Abstract:

A $\sigma$-coherent continuum is one in which every descending sequence of connected sets has a connected intersection. In this paper it is proved that such continua are hereditarily locally connnected. An example is given to show that the converse is not true.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 129-132
  • MSC: Primary 54F20; Secondary 54F55
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0589154-2
  • MathSciNet review: 589154