| Title:
|
Locally compact linearly Lindelöf spaces (English) |
| Author:
|
Kunen, Kenneth |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
155-158 |
| . |
| Category:
|
math |
| . |
| Summary:
|
There is a locally compact Hausdorff space which is linearly Lindelöf and not Lindelöf. This answers a question of Arhangel'skii and Buzyakova. (English) |
| Keyword:
|
linearly Lindelöf |
| Keyword:
|
weak P-point |
| MSC:
|
03C20 |
| MSC:
|
54B35 |
| MSC:
|
54D20 |
| MSC:
|
54D80 |
| idZBL:
|
Zbl 1090.54019 |
| idMR:
|
MR1903314 |
| . |
| Date available:
|
2009-01-08T19:20:26Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119307 |
| . |
| Reference:
|
[1] Arhangel'skii A.V., Buzyakova R.Z.: Convergence in compacta and linear Lindelöfness.Comment. Math. Univ. Carolinae 39 (1998), 159-166. Zbl 0937.54022, MR 1623006 |
| Reference:
|
[2] Baker J., Kunen K.: Limits in the uniform ultrafilters.Trans. Amer. Math. Soc. 353 (2001), 4083-4093. Zbl 0972.54019, MR 1837221 |
| Reference:
|
[3] Chang C.C., Keisler H.J.: Model Theory.Third Edition, North-Holland, 1990. Zbl 0697.03022, MR 1059055 |
| Reference:
|
[4] Dow A.: Good and OK ultrafilters.Trans. Amer. Math. Soc. 290 (1985), 145-160. Zbl 0532.54021, MR 0787959 |
| Reference:
|
[5] Keisler H.J.: Good ideals in fields of sets.Ann. of Math. 79 (1964), 338-359. Zbl 0137.00803, MR 0166105 |
| Reference:
|
[6] Keisler H.J.: Ultraproducts of finite sets.J. Symbolic Logic 32 (1967), 47-57. Zbl 0153.01702, MR 0235998 |
| Reference:
|
[7] Kunen K.: Ultrafilters and independent sets.Trans. Amer. Math. Soc. 172 (1972), 299-306. MR 0314619 |
| . |
