A countable connected Urysohn space containing a dispersion point
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- by V. Kannan
- Proc. Amer. Math. Soc. 35 (1972), 289-290
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296908-3
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Abstract:
Answering a question of Martin, Roy gave the first example of a countable connected Urysohn space with a dispersion point. Here we give a much simpler example of such a space.References
- R. H. Bing, A connected countable Hausdorff space, Proc. Amer. Math. Soc. 4 (1953), 474. MR 60806, DOI 10.1090/S0002-9939-1953-0060806-9 V. Kannan and M. Rajagopalan, Countable topological spaces, Technical Publications of the Dept. of Mathematics, Madurai University (to appear).
- 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
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 289-290
- MSC: Primary 54D05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296908-3
- MathSciNet review: 0296908