Continuous functions from a connected locally connected space into a connected space with a dispersion point
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- by C. A. Coppin PDF
- Proc. Amer. Math. Soc. 32 (1972), 625-626 Request permission
Abstract:
For ${T_2}$ spaces, it is shown that any continuous function from a connected locally connected space into a connected space with a dispersion point is a constant.References
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B. Knaster and C. Kuratowski, Sur les ensembles connexes, Fund. Math. 2 (1921), 206-255.
- Joseph Martin, A countable Hausdorff space with a dispersion point, Duke Math. J. 33 (1966), 165–167. MR 192474
- Gary Glenn Miller, Countable connected spaces, Proc. Amer. Math. Soc. 26 (1970), 355–360. MR 263005, DOI 10.1090/S0002-9939-1970-0263005-0
- Prabir Roy, A countable connected Urysohn space with a dispersion point, Duke Math. J. 33 (1966), 331–333. MR 196701
- P. M. Swingle, Two types of connected sets, Bull. Amer. Math. Soc. 37 (1931), no. 4, 254–258. MR 1562132, DOI 10.1090/S0002-9904-1931-05144-2
- Stephen Willard, General topology, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1970. MR 0264581
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 625-626
- MSC: Primary 54D05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296913-7
- MathSciNet review: 0296913