A new generalization of contra-continuity via Levine's g-closed sets

Chaos, Solitons and Fractals

Volumn 32, Issue 4, 2007, Pages 1597-1603

  Caldas, Miguel ^a   Jafari, Saeid ^b   Noiri, Takashi ^c   Simões, Marilda ^d  

^a FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

^b College of Vestsjaelland South ^*  (Denmark)

^c KUMAMOTO NATIONAL COLLEGE OF TECHNOLOGY   (Japan)

^d SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; TOPOLOGY;

CONTINUOUS FUNCTIONS; PRECONTINUOUS FUNCTIONS;

SET THEORY;

EID: 33845507434     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.12.032     Document Type: Article

References (32)

1. Abd El-Monsef M.E., El-Deeb S.N., and Mahmoud R.A. β-open sets and β-continuous mappings. Bull Fac Assiut Univ 12 (1983) 77-90
2. Balachandran K., Sundaram P., and Maki H. On generalized continuous maps in topological spaces. Mem Fac Sci Kochi Univ (Math) 12 (1991) 5-13
3. Caldas M. On g-closed sets and g-continuous mappings. Kyungpook Math J 33 (1993) 205-209
4. Caldas M. Further results on generalized open mappings in topological spaces. Bull Cal Math Soc 88 (1996) 37-42
5. Caldas M., and Jafari S. On g-US spaces. Stud Cercet Stiint, Ser Mat, Univ Bacau 14 (2005) 13-20
6. Caldas M., and Jafari S. Some properties of contra-β-continuous functions. Mem Fac Sci Kochi Univ Ser A Math 22 (2001) 19-28
7. Dontchev J. Contra-continuous functions and strongly S-closed spaces. Int J Math Math Sci 19 (1996) 303-310
8. Dontchev J., and Noiri T. Contra-semicontinuous functions. Math Pannonica 10 (1999) 159-168
9. Dunham W., and Levine N. Further results on generalized closed sets in topology. Kyungpook Math J 20 (1980) 169-175
10. 1/2-spaces. Kyungpook Math J 17 (1977) 161-169
11. 1 topologies. Kyungpook Math J 22 (1982) 55-60
12. El-Deeb S.N., Hasanein I.A., Mashhour A.S., and Noiri T. On p-regular spaces. Bull Math de la Soc Sci Math de la RS Roumanie 27 (1983) 311-315
13. El-Naschie M.S. On the uncertainty of cantorian geometry and the two-slit experiment. Chaos, Solitons & Fractals 9 3 (1998) 517-529
14. El-Naschie M.S. Quantum gravity from descriptive set theory. Chaos, Solitons & fractals 19 (2004) 1339-1344
15. ∞ theory. Chaos, Solitons & Fractals (2000) 2397-2408
16. Jafari S., and Noiri T. Contra-α-continuous functions between topological spaces. Iran Int J Sci 2 (2001) 153-167
17. Jafari S., and Noiri T. Contra-super-continuous functions. Ann Univ Sci Budapest 42 (1999) 27-34
18. Jafari S., and Noiri T. On contra-precontinuous functions. Bull Malaysian Math Sci Soc 25 2 (2002) 115-128
19. Landi G. An introduction to noncommutative spaces and their geometris. Lecture notes in physics (1997), Springer-Verlag, New York
20. Levine N. Generalized closed sets in topology. Rend Circ Mat Palermo 19 2 (1970) 89-96
21. Levine N. Semi-open sets and semi-continuity in topological spaces. Amer Math Monthly 68 (1961) 44-46
22. Malghan S.R. Generalized closed maps. J Karnatak Univ Sci 27 (1982) 82-88
23. Mashhour A.S., Abd El-Monsef M.E., and El-Deeb S.N. On precontinuous and weak precontinuous mappings. Proc Math Phys Soc Egypt 53 (1982) 47-53
24. Moore E.L.F., and Peters T.J. Computational topology for geometric design and molecular design. In: Ferguson D.R., and Peters T.J. (Eds). Mathematics in industry-challenges and frontiers 2003 (2005), SIAM
25. 1 bitopological spaces. Bull Math Soc Sci Math RS Roumanie 30 78 (1986) 141-148
26. Nieminen T. On ultrapseudocompact and related topics. Ann Acad Sci Fenn Ser A I Math 3 (1977) 185-205
27. Njåstad O. On some classes of nearly open sets. Pacific J Math 15 (1965) 961-970
28. Pawlak Z. Rough sets: theoretical aspects of reasoning about data. System theory, knowledge engineering and problem solving vol. 9 (1991), Kluwer, Dordrecht
29. Rosen D.W., and Peters T.J. The role of topology in engineering design research. Res Eng Des 2 (1996) 81-98
30. Smyth M.B. Topology. In: Abramsky S., Gabbay D.M., and Maibaum T.S.E. (Eds). Handbook of logic in computer sciences vol. 1 (1992), Clarendon Press 641-761
31. Staum R. The algebra of bounded continuous functions into a nonarchimedean field. Pacific J Math 50 (1974) 169-185
32. Witten W. Phys Today (1996) 24-30