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A Moore space on which every real-valued continuous function is constant. (English) Zbl 0112.37601


Keywords:

topology
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[1] Edwin Hewitt, On two problems of Urysohn, Ann. of Math. (2) 47 (1946), 503 – 509. · Zbl 0060.39511 · doi:10.2307/1969089
[2] F. Burton Jones, Moore spaces and uniform spaces, Proc. Amer. Math. Soc. 9 (1958), 483 – 486. · Zbl 0091.36102
[3] R. L. Moore, Foundations of point set theory, Revised edition. American Mathematical Society Colloquium Publications, Vol. XIII, American Mathematical Society, Providence, R.I., 1962. · Zbl 0192.28901
[4] Paul Urysohn, Über die Mächtigkeit der zusammenhängenden Mengen, Math. Ann. 94 (1925), no. 1, 262 – 295 (German). · JFM 51.0452.05 · doi:10.1007/BF01208659
[5] C. W. Vickery, Axioms for Moore spaces and metric spaces, Bull. Amer. Math. Soc. 46 (1940), 560 – 564. · Zbl 0061.39807
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