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Transactions of the American Mathematical Society

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

 

 

Continua in which all connected subsets are arcwise connected


Author: E. D. Tymchatyn
Journal: Trans. Amer. Math. Soc. 205 (1975), 317-331
MSC: Primary 54F20
MathSciNet review: 0365523
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Abstract: Let $ X$ be a metric continuum such that every connected subset of $ X$ is arcwise connected. Some facts concerning the distribution of local cutpoints of $ X$ are obtained. These results are used to prove that $ X$ is a regular curve.


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DOI: https://doi.org/10.1090/S0002-9947-1975-0365523-2
Keywords: Regular curves, arcwise connected, continua, hereditarily locally connected
Article copyright: © Copyright 1975 American Mathematical Society