| Title:
|
On non-normality points and metrizable crowded spaces (English) |
| Author:
|
Logunov, Sergei |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
523-527 |
| . |
| Category:
|
math |
| . |
| Summary:
|
$\beta X-\{p\}$ is non-normal for any metrizable crowded space $X$ and an arbitrary point $p\in X^{*}$. (English) |
| Keyword:
|
nice family |
| Keyword:
|
$p$-filter |
| Keyword:
|
$p$-ultrafilter |
| Keyword:
|
projection |
| Keyword:
|
non-normality point |
| Keyword:
|
butterfly-point |
| MSC:
|
54D35 |
| idZBL:
|
Zbl 1199.54155 |
| idMR:
|
MR2374131 |
| . |
| Date available:
|
2009-05-05T17:04:26Z |
| Last updated:
|
2012-05-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119676 |
| . |
| Reference:
|
[1] Blaszczyk A., Szymanski A.: Some nonnormal subspaces of the Čech-Stone compactifications of a discrete space.in: Proc. 8-th Winter School on Abstract Analysis, Prague, 1980. |
| Reference:
|
[2] Gryzlov A.A.: On the question of hereditary normality of the space $\beta ømega \setminus ømega $.(1982), Topology and Set Theory (Udmurt. Gos. Univ., Izhevsk) 61-64 (in Russian). MR 0760274 |
| Reference:
|
[3] Logunov S.: On hereditary normality of compactifications.Topology Appl. (1996), 73 213-216. Zbl 0869.54029, MR 1419794 |
| Reference:
|
[4] Logunov S.: On hereditary normality of zero-dimensional spaces.Topology Appl. (2000), 102 53-58. Zbl 0944.54016, MR 1739263 |
| Reference:
|
[5] Logunov S.: On remote points, non-normality and $\pi $-weight $ømega _{1}$.Comment. Math. Univ. Carolin. (2001), 42 2 379-384. Zbl 1053.54031, MR 1832156 |
| Reference:
|
[6] Logunov S.: On remote points and butterfly-points.(2002), 3 (26) Izvestia instituta matematiki i informatiki, Udmurt State University, Izhevsk (in Russian) 115-120. |
| Reference:
|
[7] van Mill J.: An easy proof that $\beta N \setminus N \setminus \{p\} $ is non-normal.Ann. Math. Silesianea (1984), 2 81-84. |
| Reference:
|
[8] Rajagopalan M.: $\beta N \setminus N \setminus \{p\} $ is not normal.J. Indian Math. Soc. (1972), 36 173-176. MR 0321012 |
| Reference:
|
[9] Shapirovskij B.: On embedding extremely disconnected spaces in compact Hausdorff spaces, $b$-points and weight of pointwise normal spaces.Dokl. Akad. Nauk SSSR (1975), 223 1083-1086. MR 0394609 |
| Reference:
|
[10] Terasawa J.: On the non-normality of $\beta X-\{ p\} $ for non-discrete spaces $X$.Topology Proc. (2003), 27 335-344. MR 2048942 |
| . |
