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Proceedings of the American Mathematical Society

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Continuous collections of continuous curves in the plane


Author: R. D. Anderson
Journal: Proc. Amer. Math. Soc. 3 (1952), 647-657
MSC: Primary 56.0X
DOI: https://doi.org/10.1090/S0002-9939-1952-0053497-3
MathSciNet review: 0053497
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  • [1] R. L. Moore, Concerning triods in the plane and the junction points of plane continua, Proc. Nat. Acad. Sci. U.S.A. vol. 14 (1928) pp. 85-88.
  • [2] -, Foundations of point set theory, Amer. Math. Soc. Colloquium Publications, vol. 13, 1932.
  • [3] R. L. Moore and J. R. Kline, On the most general plane closed point set through which it is possible to pass a simple continuous arc, Ann. of Math. vol. 20 (1919) pp. 218-223. MR 1502556
  • [4] R. L. Moore, Concerning upper semi-continuous collections of continua, Trans. Amer. Math. Soc. vol. 27 (1925) pp. 416-428. MR 1501320
  • [5] G. S. Young, Interior and border transformations on surfaces, Bull. Amer. Math. Soc. Abstract 52-5-220.
  • [6] Herman Cohen, Some results concerning homogeneous plane continua, Duke Math. J. vol. 18 (1951) pp. 467-474. MR 0040652 (12:729c)

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DOI: https://doi.org/10.1090/S0002-9939-1952-0053497-3
Article copyright: © Copyright 1952 American Mathematical Society

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