| Title:
|
Pairwise weakly Hausdorff spaces (English) |
| Author:
|
El-Shafei, M. E. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
281-287 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we introduce and investigate the notion of weakly Hausdorffness in bitopological spaces by using the convergent of nets. Several characterizations of this notion are given. Some relationships between these spaces and other spaces satisfying some separation axioms are studied. (English) |
| Keyword:
|
pairwise weakly Hausdorffness |
| Keyword:
|
pairwise compactness |
| Keyword:
|
pairwise separation axioms |
| Keyword:
|
nets |
| MSC:
|
54D10 |
| MSC:
|
54D30 |
| MSC:
|
54E55 |
| idZBL:
|
Zbl 1111.54026 |
| idMR:
|
MR2188384 |
| . |
| Date available:
|
2008-06-06T22:46:16Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107959 |
| . |
| Reference:
|
[1] Dunham, W.: Weakly Hausdorff spaces.Kyungpook Math. J. 15 (1975), 41–50. Zbl 0303.54005, MR 0372815 |
| Reference:
|
[2] Fletcher, P., Hoyle, H. B. and Patty, C. W.: The comparison of topologies.Duke Math. J. 36 (1969), 325–331. MR 0242107 |
| Reference:
|
[3] Kariofillis, C. G.: On pairwise almost compactness.Ann. Soc. Sci. Bruxelles 100(4) (1986), 129–137. Zbl 0659.54026, MR 0944537 |
| Reference:
|
[4] Kelly, J. C.: Bitopological spaces.Proc. London Math. Soc. 13 (1963), 71–89. Zbl 0107.16401, MR 0143169 |
| Reference:
|
[5] Kim, Y. W.: Pairwise compactness.Debrecen Tomus 15 FADC 1–4, (1986), 87–90. Zbl 0184.26101, MR 0238265 |
| Reference:
|
[6] Murdeshwar, N. G. and Naimpally, S. A.: Quasi-uniform compact spaces.Noordhoff, Groningen 1966. |
| Reference:
|
[7] Pahk, D. H. and Choi, B. D.: Notes on pairwise compactness.Kyungpook Math. J. 11 (1971), 45–52. MR 0303503 |
| Reference:
|
[8] Reilly, I. L.: Zero dimensional bitopological spaces.Indag. Math. 53 (1973), 127–131. Zbl 0258.54031, MR 0315674 |
| . |
