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A simpler proof that compact metric spaces are supercompact. (English) Zbl 0401.54018


MSC:

54D30 Compactness
54E45 Compact (locally compact) metric spaces
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References:

[1] Murray G. Bell, Not all compact Hausdorff spaces are supercompact, General Topology and Appl. 8 (1978), no. 2, 151 – 155. · Zbl 0385.54016
[2] Murray G. Bell and Jan van Mill, The compactness number of a compact topological space. I, Fund. Math. 106 (1980), no. 3, 163 – 173. · Zbl 0362.54014
[3] Jan van Mill, In memoriam: Eric Karel van Douwen (1946 – 1987), Topology Appl. 31 (1989), no. 1, 1 – 18. · Zbl 0662.01014 · doi:10.1016/0166-8641(89)90094-1
[4] E. K. van Douwen, Special bases for compact metric spaces, Fund. Math. (to appear). · Zbl 0497.54031
[5] Contributions to extension theory of topological structures, Proceedings of the Symposium held in Berlin, August 14 – 19, vol. 1967, VEB Deutscher Verlag der Wissenschaften, Berlin, 1969.
[6] C. F. Mills, Compact groups are supercompact (to appear).
[7] M. Strok and A. Szymanski, Compact metric spaces have binary bases, Fund. Math. 89 (1975), no. 1, 81 – 91. · Zbl 0316.54030
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