Properties of (θ,s)-continuous functions

Topology and its Applications

Volumn 123, Issue 1, 2002, Pages 167-179

  Noiri, Takashi ^a   Jafari, Saeid ^b  

^a KUMAMOTO NATIONAL COLLEGE OF TECHNOLOGY   (Japan)

^b College of Vestsjaelland ^*  (Denmark)

Author keywords

( ,s) closed graphs; ( ,s) continuous; Contra continuous; Regular closed; Regular open; Regular set connected; S closed; Semi open

Indexed keywords

EID: 0037675822     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-8641(01)00180-8     Document Type: Article

References (30)

1. Abd El-Monsef M.E. El-Deeb S.N. Mahmoud R.A. β-open sets and β-continuous mappings Bull. Fac. Sci. Assiut Univ. 12 1983 77-90.
2. Arya S.P. Bhamini M.P. Some generalizations of pairwise Urysohn spaces Indian J. Pure Appl. Math. 18 1987 1088-1093.
3. Biswas N. On characterizations of semi-continuous functions Atti Accad. Naz. Lincei Rend. Cl. Sci. Fiz. Mat. Natur 8 48 1970 399-402.
4. Cameron, D.E. Woods, G. s-continuous and s-open mappings, Preprint
5. Crossley S.G. Hildebrand S.K. Semi-closure Texas J. Sci. 22 1971 99-112.
6. Di Maio G. S-closed spaces, S-sets and S-continuous functions Accad. Sci. Torino 118 1984 125-134.
7. Dlaska K. Ergun N. Ganster M. Countably S-closed spaces Math. Slovaca 44 1994 337-348.
8. Dontchev J. Contra-continuous functions and strongly S-closed spaces Internat. J. Math. Math. Sci. 19 1996 303-310.
9. Dontchev, J. Ganster, M. Reilly, I. More on almost s-continuity, submitted
10. Ganster M. On strongly s-regular spaces Glasnik Mat. 25 45 1990 195-201.
11. Herrmann R.A. RC-convergence Proc. Amer. Math. Soc. 75 1979 311-317.
12. Joseph J.E. Characterizations of nearly-compact spaces Boll. Un. Mat. Ital. 5 13-B 1976 311-321.
13. Joseph J.E. Kwack M.H. On S-closed spaces Proc. Amer. Math. Soc. 80 1980 341-348.
14. Khedr F.H. Noiri T. On θ-irresolute functions Indian J. Math. 28 1986 211-217.
15. Levine N. A decomposition of continuity in topological spaces Amer. Math. Monthly 68 1961 44-46.
16. Levine N. Semi-open sets and semi-continuity in topological spaces Amer. Math. Monthly 70 1963 36-41.
17. Mashhour A.S. Abd El-Monsef M.E. El-Deeb S.N. On precontinuous and weak precontinuous mappings Proc. Math. Phys. Soc. Egypt 53 1982 47-53.
18. Nasef A.A. Noiri T. Some weak forms of almost continuity Acta Math. Hungar. 74 1997 211-219.
19. Noiri T. On S-closed subspaces Atti Accad. Naz. Lincei Rend. Cl. Sci. Fiz. Mat. Natur 8 64 1978 157-162.
20. Noiri T. A note on S-closed spaces Bull. Inst. Math. Acad. Sinica 12 1984 229-235.
21. Noiri T. Super-continuity and some strong forms of continuity Indian J. Pure Appl. Math. 15 1984 241-250.
22. Noiri T. Ahmad B. Khan M. Almost s-continuous functions Kyungpook Math. J. 35 1995 311-322.
23. Singal M.K. Singal A.R. Almost-continuous mappings Yokohama Math. J. 16 1968 63-73.
24. Singal M.K. Mathur A. On nearly-compact spaces Boll. Un. Mat. Ital. 4 2 1969 702-710.
25. Soundararajan T. Weakly Hausdorff spaces and the cardinality of topological spaces General Topology and its Relation to Modern Analysis and Algebra. III, Proc. Conf. Kanpur, 1968, Academia, Prague 1971 301-306.
26. Staum R. The algebra of bounded continuous functions into a nonarchimedean field Pacific J. Math. 50 1974 169-185.
27. Steen L.A. Seebach J.A. Jr Counterexamples in Topology 1970 Holt, Rinerhart and Winston New York.
28. Stone A.H. Hereditarily compact spaces Amer. J. Math. 82 1960 900-916.
29. Thompson T. S-closed spaces Proc. Amer. Math. Soc. 60 1976 335-338.
30. Wang G.J. On S-closed spaces Acta Math. Sinica 24 1981 55-63.