Almost continuity vs closure continuity
Saleemi, B. A. ; Shahzad, Naseer ; Alghamdi, M. A.
Archivum Mathematicum, Tome 037 (2001), p. 39-44 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

We provide an answer to a question: under what conditions almost continuity in the sense of Husain implies closure continuity?

Publié le : 2001-01-01
Classification:  54C08,  54C10 
@article{107784,
     author = {B. A. Saleemi and Naseer Shahzad and M. A. Alghamdi},
     title = {Almost continuity vs closure continuity},
     journal = {Archivum Mathematicum},
     volume = {037},
     year = {2001},
     pages = {39-44},
     zbl = {1090.54503},
     mrnumber = {1822764},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107784}
}

Saleemi, B. A.; Shahzad, Naseer; Alghamdi, M. A. Almost continuity vs closure continuity. Archivum Mathematicum, Tome 037 (2001) pp. 39-44. http://gdmltest.u-ga.fr/item/107784/

Andrew D.R.; Whittlesy E.K. Closure continuity, Amer. Math. Monthly 73 (1966), 758–759. (1966) | MR 1533910 | Zbl 0145.19404

Blumberg H. New properties of all real functions, Trans. Amer. Math. Soc. 24 (1922), 113–128. (1922) | MR 1501216

Chew J.; Tong J. Some remarks on weak continuity, Amer. Math. Monthly 98 (1991), 931–934. (1991) | MR 1137541 | Zbl 0764.54007

Fomin S.V. Extensions of topological spaces, Dokl. Akad. Nauk SSSR (M.S.) 32 (1941), 114–116. (1941) | MR 0005324

Husain T. Almost continuous mappings, Pr. Mat. 10 (1966), 1–7. (1966) | MR 0220256 | Zbl 0138.17601

Kim H.O. Notes on C-compact spaces and functionally compact spaces, Kyungpook Math. J. 10 (1970), 75–80. (1970) | MR 0263027 | Zbl 0205.27001

Levine N. A decomposition of continuity in topological spaces, Amer. Math. Monthly 68 (1961), 44–66. (1961) | MR 0126252 | Zbl 0100.18601

Long P.E.; Carnahan D.A. Comparing almost continuous functions, Proc. Amer. Math. Soc. 38 (1973), 413–418. (1973) | MR 0310824 | Zbl 0261.54007

Long P.E.; Mcgehee E.E. Properties of almost continuous functions, Proc. Amer. Math. Soc. 24 (1970), 175–180. (1970) | MR 0251704 | Zbl 0186.56003

Noiri T. Between continuity and weak-continuity, Boll. Un. Mat. Ital. IV. Ser. 9 (1974), 647–654. (1974) | MR 0370467 | Zbl 0304.54011

Noiri T. On weakly continuous mappings, Proc. Amer. Math. Soc. 46 (1974), 120–124. (1974) | MR 0348698 | Zbl 0294.54013

Papp F.J. Almost- continuous implies $\theta $-continuous, Notices Amer. Math. Soc. 20 (1973), A–175. (1973)

Rose D.A. Weak continuity and almost continuity, Internat. J. Math. Math. Sci. 7 (1984), 311–318. (1984) | MR 0757276 | Zbl 0552.54007

Rose D.A. Weak openness and almost openness, Internat. J. Math. Math. Sci. 7 (1984), 35–40. (1984) | MR 0743822 | Zbl 0562.54020

Saleh M. Almost continuity implies closure continuity, Glasgow Math. J. 40 (1998), 263–264. (1998) | MR 1630179 | Zbl 0898.54015

Singal M.K.; Singal A.R. Almost continuous mappings, Yokohama Math. J. 16 (1968), 63–73. (1968) | MR 0261569 | Zbl 0191.20802