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Countable spaces having exactly one nonisolated point. I


Author: Frank Siwiec
Journal: Proc. Amer. Math. Soc. 57 (1976), 345-350
MSC: Primary 54F65; Secondary 54D50
DOI: https://doi.org/10.1090/S0002-9939-1976-0413064-2
MathSciNet review: 0413064
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Abstract: Some countable, $ {T_1}$, $ k$-spaces having exactly one nonisolated point are characterised by means of intrinsic properties and mapping conditions.


References [Enhancements On Off] (What's this?)

  • [1] James R. Boone, A space in which the convergence criterion determines the metric, 1970 (unpublished).
  • [2] V. Kannan, An extension that nowhere has the Fréchet property, Michigan Math. J. 20 (1973), 225-234. MR 48 #3006. MR 0324656 (48:3006)
  • [3] Kiiti Morita, On decomposition spaces of locally compact spaces, Proc. Japan Acad. 32 (1956), 544-548. MR 19, 49. MR 0085495 (19:49d)
  • [4] Keiô Nagami, Dimension for $ \sigma $-metric spaces, J. Math. Soc. Japan 23 (1971), 123-129. MR 44 #4725. MR 0287521 (44:4725)
  • [5] Paul O'Meara, On paracompactness in function spaces with the compact-open topology, Proc. Amer. Math. Soc. 29 (1971), 183-189. MR 43 #2659. MR 0276919 (43:2659)
  • [6] F. Siwiec, A note on identifications of metric spaces, Proc. Amer. Math. Soc. 57 (1976), 340-344. MR 0413053 (54:1174)
  • [7] R. Telgársky, Concerning two covering properties, Colloq. Math. (to appear). MR 0433383 (55:6359)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0413064-2
Keywords: Countable space, space having exactly one nonisolated point, $ \sigma MK$ space
Article copyright: © Copyright 1976 American Mathematical Society

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