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:
|
[1] Borst P.: Spaces having a weakly-infinite-dimensional compactification.Topology Appl. 21 (1985), 261-268. Zbl 0587.54055, MR 0812644, 10.1016/0166-8641(85)90015-X |
Reference:
|
[2] Borst P.: Some remarks concerning $C$-spaces.Topology Appl. 154 (2007), 665-674. Zbl 1116.54018, MR 2280911 |
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:
|
[9] Nagami K., Roberts J.H.: A note on countable-dimensional metric spaces.Proc. Japan Acad. 41 (1965), 155-158. Zbl 0132.18601, MR 0187204 |
Reference:
|
[10] Schurle A.W.: Compactification of strongly countable-dimensional spaces.Trans. Amer. Math. Soc. 136 (1969), 25-32. Zbl 0175.19902, MR 0234423 |
. |