# Article

Full entry | PDF   (0.2 MB)
Keywords:
almost continuity; closure continuity; weak continuity
Summary:
We provide an answer to a question: under what conditions almost continuity in the sense of Husain implies closure continuity?
References:
[1] Andrew D.R., Whittlesy E.K.: Closure continuity. Amer. Math. Monthly 73 (1966), 758–759. MR 1533910 | Zbl 0145.19404
[2] Blumberg H.: New properties of all real functions. Trans. Amer. Math. Soc. 24 (1922), 113–128. MR 1501216
[3] Chew J., Tong J.: Some remarks on weak continuity. Amer. Math. Monthly 98 (1991), 931–934. MR 1137541 | Zbl 0764.54007
[4] Fomin S.V.: Extensions of topological spaces. Dokl. Akad. Nauk SSSR (M.S.) 32 (1941), 114–116. MR 0005324
[5] Husain T.: Almost continuous mappings. Pr. Mat. 10 (1966), 1–7. MR 0220256 | Zbl 0138.17601
[6] Kim H.O.: Notes on C-compact spaces and functionally compact spaces. Kyungpook Math. J. 10 (1970), 75–80. MR 0263027 | Zbl 0205.27001
[7] Levine N.: A decomposition of continuity in topological spaces. Amer. Math. Monthly 68 (1961), 44–66. MR 0126252 | Zbl 0100.18601
[8] Long P.E., Carnahan D.A.: Comparing almost continuous functions. Proc. Amer. Math. Soc. 38 (1973), 413–418. MR 0310824 | Zbl 0261.54007
[9] Long P.E., McGehee E.E.: Properties of almost continuous functions. Proc. Amer. Math. Soc. 24 (1970), 175–180. MR 0251704 | Zbl 0186.56003
[10] Noiri T.: Between continuity and weak-continuity. Boll. Un. Mat. Ital. IV. Ser. 9 (1974), 647–654. MR 0370467 | Zbl 0304.54011
[11] Noiri T.: On weakly continuous mappings. Proc. Amer. Math. Soc. 46 (1974), 120–124. MR 0348698 | Zbl 0294.54013
[12] Papp F.J.: Almost- continuous implies $\theta$-continuous. Notices Amer. Math. Soc. 20 (1973), A–175.
[13] Rose D.A.: Weak continuity and almost continuity. Internat. J. Math. Math. Sci. 7 (1984), 311–318. MR 0757276 | Zbl 0552.54007
[14] Rose D.A.: Weak openness and almost openness. Internat. J. Math. Math. Sci. 7 (1984), 35–40. MR 0743822 | Zbl 0562.54020
[15] Saleh M.: Almost continuity implies closure continuity. Glasgow Math. J. 40 (1998), 263–264. MR 1630179 | Zbl 0898.54015
[16] Singal M.K., Singal A.R.: Almost continuous mappings. Yokohama Math. J. 16 (1968), 63–73. MR 0261569 | Zbl 0191.20802

Partner of