Continua in which all connected subsets are arcwise connected

Tymchatyn, E. D.

doi:10.1090/S0002-9947-1975-0365523-2

Continua in which all connected subsets are arcwise connected
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by E. D. Tymchatyn

Trans. Amer. Math. Soc. 205 (1975), 317-331

DOI: https://doi.org/10.1090/S0002-9947-1975-0365523-2

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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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