On weakly (τ, m)-continuous functions

Rendiconti del Circolo Matematico di Palermo

Volumn 51, Issue 2, 2002, Pages 295-316

  Popa, Valeriu ^a   Noiri, Takashi ^b  

^a VASILE ALECSANDRI UNIVERSITY OF BACAU   (Romania)

^b KUMAMOTO NATIONAL COLLEGE OF TECHNOLOGY   (Japan)

Author keywords

m compact; m connected; m structure; strongly m closed graph; weakly ( , m) continuous

Indexed keywords

EID: 84859763360     PISSN: 0009725X     EISSN: 19734409     Source Type: Journal    
DOI: 10.1007/BF02871656     Document Type: Article

References (46)

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. Abd El-Monsef M. E., Mahmoud R. A., Lashin E. R.,β-closure and β-interior, J. Fac. Ed. Ain Shams Univ., 10 (1986), 235-245.
3. Abd El-Monsef M. E., Mahmoud R. A., Nasef A. A., A class of functions stronger than M-precontinuity, preirresolute and a-functions, Quatar Univ. Sci. Bull., 10 (1990), 41-48.
4. Abd El-Monsef M. E., Mahmoud R. A., Nasef A. A., Strongly semi-continuous functions, Arab J. Phys. Math., (to appear).
5. Cameron D., Woods C., s-continuous and s-open mappings, (preprint).
6. Carnahan D. A., Some Properties Related to Compactness in Topological Spaces, Ph. D. Thesis, Univ. of Arkansas, (1973).
7. Chew J., Tong J. C., Some remarks on weak continuity, Amer. Math. Monthly, 98 (1991), 931-934.
8. Crossley S. G., Hildebrand S. K., Semi-closure, Texas J. Sci., 22 (1971), 99-112.
9. Császár Á., General topology, generalized continuity, Acta Math. Hungar, (to appear).
10. Debray A., Investigations of SomeProperties of Topology and Certain Allied Structure, Ph. D. Thesis, Univ. of Calcutta, (1999).
11. Di Maio G., Noiri T., On s-closed spaces, Indian J. Pure Appl. Math., 18 (1987), 226-233.
12. Dontchev J., Ganster M., Reilly I. L., More on almost s-continuity, Indian J. Math., 41 (1999), 139-146.
13. Dontchev J., Ganster M., Noiri T., On p-closed spaces, Internat. J. Math. Math. Sci., 24 (2000), 203-212.
14. Dorsett C., Semi-regular spaces, Soochow J. Math., 8 (1982), 45-53.
15. El-Deeb S. N., Hasanein I. A., Mashhour A. S., Noiri T., On p-regular spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie, 27 (1983), 311-315.
16. Espelie M. S., Joseph J. E., Remarks on two weak forms of continuity, Canad. Math. Bull., 25 (1982), 59-63.
17. Ganguli S., Basu C. K., More on s-closed spaces, Soochow J. Math., 18 (1992), 409-418.
18. Jafari S., Noiri T., Decompositions of s-continuity, Far East J. Math. Sci. Special, (1997), 253-256.
19. Jafari S., Noiri T., Some properties of almost s-continuous functions, Rend. Circ. Mat. Palermo, 48 (1999), 571-582.
20. Levine N., A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68 (1961), 44-46.
21. Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 (1963), 36-41.
22. Lo Faro G., On strongly α-irresolute mappings, Indian J. Pure Appl. Math., 18 (1987), 146-151.
23. Long P. E., Herrington L. L., Functions with strongly-closed graphs, Boll. Un. Mat. Ital., 12 (1975), 381-384.
24. Maki H., On generalizing semi-open and preopen sets, Report for Meeting on Topological Spaces Theory and its Applications, Yatsushiro College of Technology, August, (1996), 13-18.
25. 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.
26. Mashhour A. S., Abd El-Monsef M. E., Hasanein I. A., Noiri T., Strongly compact spaces, Delta J. Sci., 8 (1984), 30-46.
27. Mashhour A. S., Hasanein I. A., El-Deeb S. N.,α-continuous and α-open mappings, Acta Math. Hungar, 41 (1983), 213-218.
28. Mukherjee M. N., Basu C. K., On semi-θ-closed sets, semi-θ-connectedness and some associated mappings, Bull. Calcutta Math. Soc., 83 (1991), 227-238.
29. Nasef A. A., Noiri T., Strongly β-irresolute functions, J. Natur. Sci. Math., 36 (1996), 199-206.
30. Njåstad O., On some classes of nearly open sets, Pacific J. Math., 15 (1965), 961-970.
31. Noiri T., Between continuity and weak continuity, Boll. Un. Mat. Ital., 9 (1974), 647-654.
32. Noiri T., On weakly continuous mappings, Proc. Amer. Math. Soc., 46 (1974), 120-124.
33. Noiri T., Ahmad B., Khan M., Almost s-continuous functions, Kyungpook Math. J., 35 (1995), 311-322.
34. Noiri T., Popa V., On weakly (τ, β)-continuous functions, (prepairing).
35. Pal M. C., Bhattacharyya, Feeble and strong forms of preirresolute functions, Bull. Malaysian Math. Soc., 19 (1996), 63-75.
36. Park J. H., Lee B. Y., Son M. J., On δ-semi-open sets in topological spaces, J. Indian Acad. Math., 19 (1997), 59-67.
37. Popa V., Characterizations of weakly continuous functions (Romanian), Stud. Cerc. Mat., 34 (1982), 277-280.
38. Popa V., Noiri T., On M-continuous functions, Anal. Univ. Galati, Ser. Mat. Fiz. Mec. Teor., 43 (2000), 31-41.
39. Porter J., Thomas J., On H-closed and minimal Hausdorff spaces, Trans. Amer. Math. Soc., 138 (1969), 159-170.
40. Prakash A., Srivastava P., Theorems on mappings into Urysohn spaces and Hausdorff spaces, Boll. Un. Mat. Ital., 12 (1975), 321-326.
41. Raychaudhuri S., Study of Some Mappings, Covering Properties and Allied Concepts in Topological Spaces, Ph. D. Thesis, Univ. of Calcutta, (1994).
42. Raychaudhuri S., Mukherjee M. N., On δ-almost continuity and δ-preopen sets, Bull. Inst. Math. Acad. Sinica, 21 (1993), 357-366.
43. p-closedness for topological spaces, J. Indian Acad. Math., 18 (1996), 89-99.
44. Rose D. A., Weak continuity and almost continuity, Internat. J. Math. Math. Sci., 7 (1984), 311-318.
45. Rose D. A., A note on Levin's decomposition of continuity, Indian J. Pure Appl. Math., 21 (1990), 985-987.
46. Veličko N. V., H-closed topological spaces, Amer. Math. Soc. Transl., 78 (1968), 103-118.