| Title:
|
Almost continuity vs closure continuity (English) |
| Author:
|
Saleemi, B. A. |
| Author:
|
Shahzad, N. |
| Author:
|
Alghamdi, M. A. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
39-44 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We provide an answer to a question: under what conditions almost continuity in the sense of Husain implies closure continuity? (English) |
| Keyword:
|
almost continuity |
| Keyword:
|
closure continuity |
| Keyword:
|
weak continuity |
| MSC:
|
54C08 |
| MSC:
|
54C10 |
| idZBL:
|
Zbl 1090.54503 |
| idMR:
|
MR1822764 |
| . |
| Date available:
|
2008-06-06T22:28:13Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107784 |
| . |
| Reference:
|
[1] Andrew D.R., Whittlesy E.K.: Closure continuity.Amer. Math. Monthly 73 (1966), 758–759. Zbl 0145.19404, MR 1533910 |
| Reference:
|
[2] Blumberg H.: New properties of all real functions.Trans. Amer. Math. Soc. 24 (1922), 113–128. MR 1501216 |
| Reference:
|
[3] Chew J., Tong J.: Some remarks on weak continuity.Amer. Math. Monthly 98 (1991), 931–934. Zbl 0764.54007, MR 1137541 |
| Reference:
|
[4] Fomin S.V.: Extensions of topological spaces.Dokl. Akad. Nauk SSSR (M.S.) 32 (1941), 114–116. MR 0005324 |
| Reference:
|
[5] Husain T.: Almost continuous mappings.Pr. Mat. 10 (1966), 1–7. Zbl 0138.17601, MR 0220256 |
| Reference:
|
[6] Kim H.O.: Notes on C-compact spaces and functionally compact spaces.Kyungpook Math. J. 10 (1970), 75–80. Zbl 0205.27001, MR 0263027 |
| Reference:
|
[7] Levine N.: A decomposition of continuity in topological spaces.Amer. Math. Monthly 68 (1961), 44–66. Zbl 0100.18601, MR 0126252 |
| Reference:
|
[8] Long P.E., Carnahan D.A.: Comparing almost continuous functions.Proc. Amer. Math. Soc. 38 (1973), 413–418. Zbl 0261.54007, MR 0310824 |
| Reference:
|
[9] Long P.E., McGehee E.E.: Properties of almost continuous functions.Proc. Amer. Math. Soc. 24 (1970), 175–180. Zbl 0186.56003, MR 0251704 |
| Reference:
|
[10] Noiri T.: Between continuity and weak-continuity.Boll. Un. Mat. Ital. IV. Ser. 9 (1974), 647–654. Zbl 0304.54011, MR 0370467 |
| Reference:
|
[11] Noiri T.: On weakly continuous mappings.Proc. Amer. Math. Soc. 46 (1974), 120–124. Zbl 0294.54013, MR 0348698 |
| Reference:
|
[12] Papp F.J.: Almost- continuous implies $\theta $-continuous.Notices Amer. Math. Soc. 20 (1973), A–175. |
| Reference:
|
[13] Rose D.A.: Weak continuity and almost continuity.Internat. J. Math. Math. Sci. 7 (1984), 311–318. Zbl 0552.54007, MR 0757276 |
| Reference:
|
[14] Rose D.A.: Weak openness and almost openness.Internat. J. Math. Math. Sci. 7 (1984), 35–40. Zbl 0562.54020, MR 0743822 |
| Reference:
|
[15] Saleh M.: Almost continuity implies closure continuity.Glasgow Math. J. 40 (1998), 263–264. Zbl 0898.54015, MR 1630179 |
| Reference:
|
[16] Singal M.K., Singal A.R.: Almost continuous mappings.Yokohama Math. J. 16 (1968), 63–73. Zbl 0191.20802, MR 0261569 |
| . |
