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 be a metric continuum such that every connected subset of is arcwise connected. Some facts concerning the distribution of local cutpoints of are obtained. These results are used to prove that is a regular curve.

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Additional Information

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