A countably paracompact nonnormal space
HTML articles powered by AMS MathViewer
- by W. Weiss PDF
- Proc. Amer. Math. Soc. 79 (1980), 487-490 Request permission
Abstract:
A countably paracompact, first countable, separable, submetrizable, locally compact space which is not normal is constructed.References
- Eric K. van Douwen, A technique for constructing honest locally compact submetrizable examples, Topology Appl. 47 (1992), no. 3, 179–201. MR 1192308, DOI 10.1016/0166-8641(92)90029-Y —, Hausdorff gaps and a nice countably paracompact non-normal space, Topology Proceedings 1 (1976), 239-242.
- I. Juhász, K. Kunen, and M. E. Rudin, Two more hereditarily separable non-Lindelöf spaces, Canadian J. Math. 28 (1976), no. 5, 998–1005. MR 428245, DOI 10.4153/CJM-1976-098-8
- A. J. Ostaszewski, On countably compact, perfectly normal spaces, J. London Math. Soc. (2) 14 (1976), no. 3, 505–516. MR 438292, DOI 10.1112/jlms/s2-14.3.505
- J. E. Vaughan, A countably compact, first countable, nonnormal $T_{2}$-space, Proc. Amer. Math. Soc. 75 (1979), no. 2, 339–342. MR 532163, DOI 10.1090/S0002-9939-1979-0532163-0
- Michael L. Wage, Non-normal spaces, Set-theoretic topology (Papers, Inst. Medicine and Math., Ohio Univ., Athens, Ohio, 1975–1976) Academic Press, New York, 1977, pp. 371–381. MR 0451200
- M. L. Wage, W. G. Fleissner, and G. M. Reed, Normality versus countable paracompactness in perfect spaces, Bull. Amer. Math. Soc. 82 (1976), no. 4, 635–639. MR 410665, DOI 10.1090/S0002-9904-1976-14150-X
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 487-490
- MSC: Primary 54G20; Secondary 54D15
- DOI: https://doi.org/10.1090/S0002-9939-1980-0567999-1
- MathSciNet review: 567999