| Title:
|
A generalization of normal spaces (English) |
| Author:
|
Renukadevi, V. |
| Author:
|
Sivaraj, D. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
44 |
| Issue:
|
4 |
| Year:
|
2008 |
| Pages:
|
265-270 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A new class of spaces which contains the class of all normal spaces is defined and its characterization and properties are discussed. (English) |
| Keyword:
|
$\mathcal{I}$-regular |
| Keyword:
|
codense ideal |
| Keyword:
|
$\mathcal{I}$-compact |
| Keyword:
|
$\mathcal{I}$-paracompact |
| MSC:
|
54C10 |
| MSC:
|
54D15 |
| idZBL:
|
Zbl 1212.54073 |
| idMR:
|
MR2493423 |
| . |
| Date available:
|
2009-01-29T09:15:19Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119766 |
| . |
| Reference:
|
[1] Hamlett, T. R., Jancović, D.: Compactness with respect to an ideal.Boll. Un. Mat. Ital. B (7) 4 (1990), 849–861. MR 1086708 |
| Reference:
|
[2] Hamlett, T. R., Jancović, D.: On weaker forms of paracompactness, countable compactness and Lindelofness.Ann. New York Acad. Sci. 728 (1994), 41–49. MR 1467761, 10.1111/j.1749-6632.1994.tb44132.x |
| Reference:
|
[3] Jancović, D., Hamlett, T. R.: New Topologies from old via ideals.Amer. Math. Monthly 97 (4) (1990), 295 – 310. MR 1048441, 10.2307/2324512 |
| Reference:
|
[4] Kuratowski, K.: Topology, Vol. I.Academic Press, New York, 1966. Zbl 0158.40901, MR 0217751 |
| Reference:
|
[5] Newcomb, R. L.: Topologies which are compact modulo an ideal.Ph.D. thesis, University of Cal. at Santa Barbara, 1967. |
| Reference:
|
[6] Renukadevi, V., Sivaraj, D., Tamizh Chelvam, T.: Codense and Completely codense ideals.Acta Math. Hungar. 108 (3) (2005), 197–205. MR 2162560 |
| Reference:
|
[7] Steen, L. A., Seebach, J. A.: Counterexamples in Topology.Springer-Verlag, New York, 1978. Zbl 0386.54001, MR 0507446 |
| Reference:
|
[8] Vaidyanathaswamy, R.: The localization theory in set topology.Proc. Indian Acad. Sci. Math. Sci. 20 (1945), 51–61. MR 0010961 |
| Reference:
|
[9] Vaidyanathaswamy, R.: Set Topology.Chelsea Publishing Company, 1946. MR 0115151 |
| Reference:
|
[10] Zahid, M. I.: Para-H-closed spaces, locally para-H-closed spaces and their minimal topologies.Ph.D. thesis, Univ. of Pittsburgh, 1981. |
| . |
