| Title:
|
On sub-, pseudo- and quasimaximal spaces (English) |
| Author:
|
Schröder, J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
197-206 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The structure of sub-, pseudo- and quasimaximal spaces is investigated. \linebreak A method of constructing non-trivial quasimaximal spaces is presented. (English) |
| Keyword:
|
submaximal |
| Keyword:
|
quasimaximal |
| Keyword:
|
pseudomaximal |
| Keyword:
|
ultrafilter |
| Keyword:
|
tensorproduct |
| Keyword:
|
measurable cardinal |
| Keyword:
|
$\sigma$-discrete |
| Keyword:
|
tree |
| Keyword:
|
Čech-Stone-compactification |
| Keyword:
|
retraction |
| MSC:
|
54A10 |
| MSC:
|
54D30 |
| MSC:
|
54D35 |
| MSC:
|
54D80 |
| idZBL:
|
Zbl 0937.54001 |
| idMR:
|
MR1623022 |
| . |
| Date available:
|
2009-01-08T18:40:03Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118998 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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[Rah73] Raha A.B.: Maximal topologies.J. Austral. Math. Soc. 15 (1973), 279-290. Zbl 0267.54018, MR 0324646 |
| Reference:
|
[Cam77] Cameron D.E.: A survey of maximal topological spaces.Topology Proc. 2 (1977), 11-60. MR 0540596 |
| Reference:
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[Eng77] Engelking R.: General Topology.PWN, Warszawa, 1977. Zbl 0684.54001, MR 0500780 |
| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
[Don95] Dontchev J.: On submaximal spaces.Tamkang J. Math. 26 (1995), 243-250. Zbl 0835.54026, MR 1365714 |
| Reference:
|
[C&G96] Comfort W.W., Garcia-Ferreira S.: Resolvability, a selective survey and some new results.Topology Appl. 74 (1996), 149-167. Zbl 0866.54004, MR 1425934 |
| Reference:
|
[A..97] Alas O.T., Protasov L.V., Tkachenko M.G., Tkachuk V.V., Wilson R.G., Yaschenko I.V.: Almost all submaximal groups are paracompact and $\sigma$-discrete.preprint. Zbl 0904.54027 |
| . |
