Open retractions on locally connected continua
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- by S. Miklos PDF
- Proc. Amer. Math. Soc. 91 (1984), 630-632 Request permission
Abstract:
It is shown that a locally connected continuum $X$ admits open retractions onto each of its subcontinua if and only if $X$ is either an arc or a simple closed curve.References
- R. W. FitzGerald, Connected sets with a finite disconnection property, Studies in topology (Proc. Conf., Univ. North Carolina, Charlotte, N.C., 1974; dedicated to Math. Sect. Polish Acad. Sci.), Academic Press, New York, 1975, pp. 139–173. MR 0365478
- K. Kuratowski, Topology. Vol. II, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1968. New edition, revised and augmented; Translated from the French by A. Kirkor. MR 0259835
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 630-632
- MSC: Primary 54C10; Secondary 54C15, 54F15, 54F25
- DOI: https://doi.org/10.1090/S0002-9939-1984-0746103-4
- MathSciNet review: 746103