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 |
. |
MSC:
|
06E15 |
MSC:
|
28A60 |
MSC:
|
51D30 |
MSC:
|
54A25 |
MSC:
|
54D30 |
MSC:
|
54G20 |
idZBL:
|
Zbl 0437.54014 |
idMR:
|
MR590130 |
. |
Date available:
|
2008-06-05T21:05:27Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106016 |
. |
Reference:
|
[B1] M. G. Bell: Not all compact spaces are supercompact.Gen. Top. Appl. 8 (1978), 151-155. MR 0474199 |
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 |
Reference:
|
[vD2] E. K. van Douwen: Special bases for compact metrizable spaces.Fund. Math. (to appear). Zbl 0497.54031, MR 0611760 |
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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