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Mack, John

Countable paracompactness and weak normality properties. (English) Zbl 0209.26904

Trans. Am. Math. Soc. 148, 265-272 (1970).
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Cited in 35 Documents

MSC:

54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
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\textit{J. Mack}, Trans. Am. Math. Soc. 148, 265--272 (1970; Zbl 0209.26904)
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References:

[1] C. E. Aull, A note on countably paracompact spaces and metrization, Proc. Amer. Math. Soc. 16 (1965), 1316 – 1317. · Zbl 0136.19702
[2] W. W. Comfort and Stelios Negrepontis, Extending continuous functions on \?\times \? to subsets of \?\?\times \?\?, Fund. Math. 59 (1966), 1 – 12. · Zbl 0185.26304
[3] H. H. Corson, Normality in subsets of product spaces, Amer. J. Math. 81 (1959), 785 – 796. · Zbl 0095.37302
[4] C. H. Dowker, On countably paracompact spaces, Canadian J. Math. 3 (1951), 219 – 224. · Zbl 0042.41007
[5] Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. · Zbl 0093.30001
[6] Edwin Hewitt, On two problems of Urysohn, Ann. of Math. (2) 47 (1946), 503 – 509. · Zbl 0060.39511
[7] John Mack, On a class of countably paracompact spaces, Proc. Amer. Math. Soc. 16 (1965), 467 – 472. · Zbl 0134.41403
[8] John Mack, Directed covers and paracompact spaces, Canad. J. Math. 19 (1967), 649 – 654. · Zbl 0147.22805
[9] John Mack, Product spaces and paracompactness, J. London Math. Soc. (2) 1 (1969), 90 – 94. · Zbl 0177.50803
[10] -, Countably paracompact spaces on which every real-valued continuous function is constant, Proc. Amer. Math. Soc. (to appear).
[11] J. E. Mack and D. G. Johnson, The Dedekind completion of \?(\?), Pacific J. Math. 20 (1967), 231 – 243. · Zbl 0152.39802
[12] E. Michael, The product of a normal space and a metric space need not be normal, Bull. Amer. Math. Soc. 69 (1963), 375 – 376. · Zbl 0114.38904
[13] E. Michael, A note on closed maps and compact sets, Israel J. Math. 2 (1964), 173 – 176. · Zbl 0136.19303
[14] K. Morita, Paracompactness and product spaces, Fund. Math. 50 (1961/1962), 223 – 236. · Zbl 0099.17401
[15] R. H. Sorgenfrey, On the topological product of paracompact spaces, Bull. Amer. Math. Soc. 53 (1947), 631 – 632. · Zbl 0031.28302
[16] Hisahiro Tamano, On compactifications, J. Math. Kyoto Univ. 1 (1961/1962), 161 – 193. · Zbl 0106.15601
[17] Phillip Zenor, A note on \?-mappings and \?\?-mappings, Proc. Amer. Math. Soc. 23 (1969), 273 – 275. · Zbl 0186.26702
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