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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Arcwise connectedness of semiaposyndetic plane continua
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by Charles L. Hagopian
Trans. Amer. Math. Soc. 158 (1971), 161-165
DOI: https://doi.org/10.1090/S0002-9947-1971-0284981-1

Abstract:

In a recent paper, the author proved that if a compact plane continuum $M$ contains a finite point set $F$ such that, for each point $x$ in $M - F,M$ is semi-locally-connected and not aposyndetic at $x$, then $M$ is arcwise connected. The primary purpose of this paper is to generalize that theorem. Semiaposyndesis, a generalization of semi-local-connectedness, is defined and arcwise connectedness is established for certain semiaposyndetic plane continua.
References
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Bibliographic Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 158 (1971), 161-165
  • MSC: Primary 54.55
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0284981-1
  • MathSciNet review: 0284981