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Article

Title: Nonsupercompactness and the reduced measure algebra (English)
Author: van Douwen, Eric K.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 21
Issue: 3
Year: 1980
Pages: 507-512
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Category: math
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MSC: 06E15
MSC: 28A60
MSC: 51D30
MSC: 54A25
MSC: 54D30
MSC: 54G20
idZBL: Zbl 0437.54014
idMR: MR590130
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Date available: 2008-06-05T21:05:27Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106016
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Reference: [B2] M. G. Bell: A cellular constraint in supercompact Hausdorff spaces.Can. J. Math. 30 (1978), 1144-1151. Zbl 0367.54009, MR 0511552
Reference: [B3] M. G. Bell: A first countable supercompact Hausdorff space with a closed $G_{\delta} $ non-supercompact subspace.Coll. Math. (to appear). Zbl 0474.54012, MR 0628178
Reference: [BvM] M. G. Bell J. van Mill: The compactness number of a compact topological space.Fund. Math. (to appear). MR 0584490
Reference: [vD1] E. K. van Douwen: Density of compactifications.in 'Set theoretic topology', G. M. Reed (ed.). Academic Press, New York (1977), 97-110. Zbl 0379.54006, MR 0442887
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Reference: [vDvM] E. K. van Douwen J. van Mill: Supercompact spaces.Top. Appl. (to appear).
Reference: [G] A. M. Gleason: Projective topological spaces, III.J. Math 2 2 (1958), 482-489. MR 0121775
Reference: [dG] J. de Groot: Supercompactness and superextensions.Contrib. to Extension Theory of Top. Struct. Symp. Berlin 1967, Deutscher Verlag Wiss., Berlin (1969), 89-90.
Reference: [K] J. L. Kelley: General Topology.Van Nostr and Reinhold Cy., New York, 1955. Zbl 0066.16604, MR 0070144
Reference: [vMM1] J. van Mill C. F. Mills: On the character of supercompact topological spaces.Top. Proc. 3 (1978), 227-236. MR 0540493
Reference: [vMM2] J. van Mill C. F. Mills: Closed $G_{\delta}$ subsets of supercompact Hausdorff spaces.Indag. Math. 41 (1979), 155-162. MR 0535563
Reference: [M1] C. F. Mills: A simpler proof that compact metric spaces are supercompact.Proc. AMS 73 (1979), 388-390. Zbl 0401.54018, MR 0518526
Reference: [M2] C. F. Mills: Compact topological groups are supercompact.Fund. Math. (to appear).
Reference: [MvM] C. F. Mills J. van Mill: A nonsupercompact continuous image of a supercompact space.Houston J. Math. 5 (1979), 241-247. MR 0546758
Reference: [SS] M. Strok A. Szymański: Compact metric spaces have binary bases.Fund. Math. 89 (1975), 81-91. MR 0383351
Reference: [V] A. Verbeck: Superextensions of topological spaces.Ph.D. dissertation, Univ. of Amsterdam, 1972, Mathematical Centre Tract 41, Amsterdam, 1972.
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