| Title:
|
Spaces not distinguishing convergences (English) |
| Author:
|
Repický, Miroslav |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
829-842 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper we introduce a convergence condition $(\Sigma ')$ and continue the study of ``not distinguish'' for various kinds of convergence of sequences of real functions on a topological space started in [2] and [3]. We compute cardinal invariants associated with introduced properties of spaces. (English) |
| Keyword:
|
P- |
| Keyword:
|
QN- |
| Keyword:
|
$\Sigma $- |
| Keyword:
|
$\Sigma '$- |
| Keyword:
|
$\Sigma ^*$- |
| Keyword:
|
$\Sigma _c$-convergence |
| Keyword:
|
a space not distinguishing convergences |
| MSC:
|
03E17 |
| MSC:
|
54A20 |
| MSC:
|
54C30 |
| MSC:
|
54C35 |
| MSC:
|
54G99 |
| idZBL:
|
Zbl 1067.54028 |
| idMR:
|
MR1800160 |
| . |
| Date available:
|
2009-01-08T19:07:52Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119215 |
| . |
| Reference:
|
[1] Bartoszyński T.: Additivity of measure implies additivity of category.Trans. Amer. Math. Soc. 281 (1984), 209-213. MR 0719666 |
| Reference:
|
[2] Bukovský L., Recław I., Repický M.: Spaces not distinguishing pointwise and quasinormal convergence of real functions.Topology Appl. 41 (1991), 25-40. MR 1129696 |
| Reference:
|
[3] Bukovský L., Recław I., Repický M.: Spaces not distinguishing convergences of real-valued functions.Topology Appl., to appear. |
| Reference:
|
[4] van Douwen E.K.: The integers and topology.Handbook of Set-Theoretic Topology (K. Kunen and J. E. Vaughan, eds.), North Holland, Amsterdam, 1984, pp.111-167. Zbl 0561.54004, MR 0776622 |
| Reference:
|
[5] Engelking R.: General Topology.Państwowe Wydawnictwo Naukowe, Warszawa, 1977. Zbl 0684.54001, MR 0500779 |
| Reference:
|
[6] Kada M., Kamo S.: New cardinal invariants related to pseudo-Dirichlet sets.preprint, 1996. |
| Reference:
|
[7] Kuratowski K.: Topologie I.PWN, Warsaw, 1958. Zbl 0849.01044 |
| Reference:
|
[8] Miller A.W.: Special subsets of the real line.Handbook of Set-Theoretic Topology (K. Kunen and J. E. Vaughan, eds.), North Holland, Amsterdam, 1984, pp.201-233. Zbl 0588.54035, MR 0776624 |
| Reference:
|
[9] Recław I.: Metric spaces not distinguishing pointwise and quasinormal convergence of real functions.Bull. Polish Acad. Sci. Math. 45 (1997), 3 287-289. MR 1477547 |
| . |
