Normality versus countable paracompactness in perfect spaces
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- by M. L. Wage, W. G. Fleissner and G. M. Reed PDF
- Bull. Amer. Math. Soc. 82 (1976), 635-639
References
- R. H. Bing, Metrization of topological spaces, Canad. J. Math. 3 (1951), 175–186. MR 43449, DOI 10.4153/cjm-1951-022-3 2. D. K. Burke and D. J. Lutzer, Recent developments in the theory of generalized metric spaces, Proc. Topology Conf. (Memphis State Univ., 1975) (to appear). 3. H. Cook, Cartesian products and continuous semi-metrics, Proc. Conf. on Topology (1967), Arizona State Univ., Tempe, Ariz., 1968, pp. 58-63. MR 38 #5152.
- C. H. Dowker, On countably paracompact spaces, Canad. J. Math. 3 (1951), 219–224. MR 43446, DOI 10.4153/cjm-1951-026-2 5. W. G. Fleissner, On discrete subsets of Moore spaces (to appear).
- R. W. Heath, Screenability, pointwise paracompactness, and metrization of Moore spaces, Canadian J. Math. 16 (1964), 763–770. MR 166760, DOI 10.4153/CJM-1964-073-3 7. F. B. Jones, Concerning normal and completely normal spaces, Bull. Amer. Math. Soc. 43 (1937), 671-677.
- Carolyn India Kerr, On countably paracompact spaces, TOPO 72—general topology and its applications (Proc. Second Pittsburgh Internat. Conf., Pittsburgh, Pa., 1972; dedicated to the memory of Johannes H. de Groot), Lecture Notes in Math., Vol. 378, Springer, Berlin, 1974, pp. 243–247. MR 0418040
- 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
- C. W. Proctor, A separable pseudonormal nonmetrizable Moore space, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 18 (1970), 179–181 (English, with Russian summary). MR 263023
- G. M. Reed, On chain conditions in Moore spaces, General Topology and Appl. 4 (1974), 255–267. MR 345076, DOI 10.1016/0016-660X(74)90025-7
- G. M. Reed, On normality and countable paracompactness, Fund. Math. 110 (1980), no. 2, 145–152. MR 600588, DOI 10.4064/fm-110-2-145-152 13. G. M. Reed, On continuously semi-metrizable and submetrizable spaces (to appear).
- G. M. Reed and P. L. Zenor, Metrization of Moore spaces and generalized manifolds, Fund. Math. 91 (1976), no. 3, 203–210. MR 425918, DOI 10.4064/fm-91-3-203-210 15. F. Slaughter, Submetrizable spaces, Topology Conf. (Virginia Polytech. Inst, and State Univ., 1973), Lecture Notes in Math., vol. 375, Springer-Verlag, Berlin, 1974. MR 49 #3803. 16. F. Tall, Set-theoretic consistency results and topological theorems concerning the normal Moore space conjecture and related problems, Thesis, Univ. of Wisconsin, 1969.
- Franklin D. Tall, $P$-points in $\beta N-N$, normal non-metrizable Moore spaces, and other problems of Hausdorff, TOPO 72—general topology and its applications (Proc. Second Pittsburgh Internat. Conf., Pittsburgh, Pa., 1972; dedicated to the memory of Johannes H. de Groot), Lecture Notes in Math., Vol. 378, Springer, Berlin, 1974, pp. 501–512. MR 0385780
- Michael L. Wage, Countable paracompactness, normality, and Moore spaces, Proc. Amer. Math. Soc. 57 (1976), no. 1, 183–188. MR 405364, DOI 10.1090/S0002-9939-1976-0405364-7
- J. N. Younglove, Two conjectures in point set theory, Topology Seminar (Wisconsin, 1965) Ann. of Math. Studies, No. 60, Princeton Univ. Press, Princeton, N.J., 1966, pp. 121–123. MR 0217760
- Phillip Zenor, On countable paracompactness and normality, Prace Mat. 13 (1969), 23–32. MR 0248724
Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 635-639
- MSC (1970): Primary 54D15, 54D20, 54G20; Secondary 02K05, 54C05, 54E30
- DOI: https://doi.org/10.1090/S0002-9904-1976-14150-X
- MathSciNet review: 0410665