| Title:
|
Weakly infinite-dimensional compactifications and countable-dimensional compactifications (English) |
| Author:
|
Kimura, Takashi |
| Author:
|
Komoda, Chieko |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
147-154 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we give a characterization of a separable metrizable space having a metrizable S-weakly infinite-dimensional compactification in terms of a special metric. Moreover, we give two characterizations of a separable metrizable space having a metrizable countable-dimensional compactification. (English) |
| Keyword:
|
S-weakly infinite-dimensional |
| Keyword:
|
countable-dimensional |
| Keyword:
|
compactification |
| MSC:
|
54D35 |
| MSC:
|
54F45 |
| idZBL:
|
Zbl 1212.54085 |
| idMR:
|
MR2433632 |
| . |
| Date available:
|
2009-05-05T17:07:09Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119709 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Engelking R.: Theory of Dimensions Finite and Infinite.Heldermann Verlag, Lemgo, 1995. Zbl 0872.54002, MR 1363947 |
| Reference:
|
[4] Engelking R., Pol E.: Countable-dimensional spaces: a survey.Dissertationes Math. 216 (1983). Zbl 0541.54042, MR 0722011 |
| Reference:
|
[5] Engelking R., Pol R.: Compactifications of countable-dimensional and strongly countable-dimensional spaces.Proc. Amer. Math. Soc. 104 (1988), 985-987. Zbl 0691.54015, MR 0964883 |
| Reference:
|
[6] Kimura T., Komoda C.: Spaces having a compactification which is a $C$-space.Topology Appl. 143 (2004), 87-92. Zbl 1055.54009, MR 2080284 |
| Reference:
|
[7] Misra A.K.: Some regular Wallman $\beta X$.Indag. Math. 35 (1973), 237-242. Zbl 0258.54022, MR 0324653 |
| Reference:
|
[8] Nagata J.: Modern Dimension Theory.Groningen, 1965. Zbl 0518.54002 |
| Reference:
|
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| Reference:
|
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| . |
