| Title:
|
A remark on the tightness of products (English) |
| Author:
|
Okunev, Oleg |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
397-399 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We observe the existence of a $\sigma$-compact, separable topological group $G$ and a countable topological group $H$ such that the tightness of $G$ is countable, but the tightness of $G\times H$ is equal to $\frak c$. (English) |
| Keyword:
|
tightness |
| Keyword:
|
products |
| Keyword:
|
function spaces |
| MSC:
|
54A25 |
| MSC:
|
54B10 |
| idZBL:
|
Zbl 0854.54013 |
| idMR:
|
MR1399012 |
| . |
| Date available:
|
2009-01-08T18:24:25Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118842 |
| . |
| Reference:
|
[Arh1] Arhangel'skii A.V.: The frequency spectrum of a topological space and the product operation.Trans. Moscow Math. Soc. 3 (1981), 169-199. |
| Reference:
|
[Arh2] Arhangel'skii A.V.: Topological Spaces of Functions.Kluwer Academic Publishers Dordrecht (1992). |
| Reference:
|
[Kom] Kombarov A.P.: On a strengthening of collectionwise normality.126 Abstracts of the Fifth Tyraspol Symp. on Gen. Topol. and its Appl. (1985), Štiinca Kišinev Russian. |
| Reference:
|
[Law] Lawrence L.B.: Lindelöf spaces concentrated on Bernstein subsets of the real line.Proc. Amer. Math. Soc. (1992), 114 1 211-215. Zbl 0789.54007, MR 1062832 |
| Reference:
|
[OT] Okunev O., Tamano K.: Lindelöf powers and products of function spaces.Proc. Amer. Math. Soc., to appear. Zbl 0858.54013, MR 1353393 |
| Reference:
|
[Mal] Malykhin V.I.: On the tightness and the Suslin number of $\exp X$ and a product of spaces.Soviet. Math. Dokl. (1972), 13 496-499. |
| Reference:
|
[Sha] Shakhmatov D.B.: Compact paces and their generalizations.571-640 Recent Progress in General Topology M. Hušek and J. van Mill North-Holland Amsterdam (1992). MR 1229139 |
| Reference:
|
[Tod] Todorčević S.: Some applications of $S$ and $L$ combinatorics..Annals New York Acad. Sci. 705 (1993), 130-167. MR 1277886 |
| . |
