Abstract
References
- A¸cikg¨oz, A., Noiri, T. and Y¨uksel S¸. A decomposition of continuity in ideal topological spaces, Acta Math. Hungar. 105 (4), 285–289, 2004.
- Chattopadhyay, K. C., Nj˚astad, K. C. and Thron W. J. Merotopic spaces and extensions of closure spaces, Can. J. Math. 35 (4), 613–629, 1983.
- Chattopadhyay, K. C. and Thron, W. J. Extensions of closure spaces, Can. J. Math. 29 (6), –1286, 1977.
- Choqet, G. Sur les notions de filter et grill, Comptes Rendus Acad. Sci. Paris 224, 171–173, Fomin, S. Extensions of topological spaces, Ann. of Math. 44, 471–480, 1943.
- Hatir, E. and Jafari, S, On some new calsses of sets and a new decomposition of continuity via grills, J. Ads. Math. Studies. 3 (1), 33–40, 2010.
- Jankovi´c, D. and Hamlet, T. R. New topologies from old via ideals, Amer. Math. Monthly , 295–310, 1990.
- Kuratowski, K. Topology I (Academic Press, New York, 1966).
- Levine, N. A decomposition of continuity in topological spaces, Amer Math. Monthly 68, –41, 1961.
- Levine, N. Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly , 44–46, 1963.
- 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, 47–53, 1982.
- Renukadevi, V. Relation between ideals and grills, J. Adv. Res. Pure Math. 2 (4), 9–14, Rose, D. A. Weak continuity and almost continuity, Internat. J. Math. Math. Sci. 7, 311– , 1984.
- Roy, B. and Mukherjee, M. N. On a typical topology induced by a grill, Soochow J. Math. (4), 771–786, 2007.
- Thron, W. J. Proximity structure and grills, Math. Ann. 206, 35–62, 1973.
- Vaidyanathaswamy, R. Set Topology (Chelsea Publishing Company, New York, 1960).
Abstract
In this paper, we introduce and investigate the notion of a weakly Φcontinuous function in grill topological spaces and using this function we obtain a decomposition of continuity. Also, we investigate its relationship with other related functions.
Keywords
Grill topological space Weak Φ-continuity Decomposition of continuity 2000 AMS Classification: 54 A 05
References
- A¸cikg¨oz, A., Noiri, T. and Y¨uksel S¸. A decomposition of continuity in ideal topological spaces, Acta Math. Hungar. 105 (4), 285–289, 2004.
- Chattopadhyay, K. C., Nj˚astad, K. C. and Thron W. J. Merotopic spaces and extensions of closure spaces, Can. J. Math. 35 (4), 613–629, 1983.
- Chattopadhyay, K. C. and Thron, W. J. Extensions of closure spaces, Can. J. Math. 29 (6), –1286, 1977.
- Choqet, G. Sur les notions de filter et grill, Comptes Rendus Acad. Sci. Paris 224, 171–173, Fomin, S. Extensions of topological spaces, Ann. of Math. 44, 471–480, 1943.
- Hatir, E. and Jafari, S, On some new calsses of sets and a new decomposition of continuity via grills, J. Ads. Math. Studies. 3 (1), 33–40, 2010.
- Jankovi´c, D. and Hamlet, T. R. New topologies from old via ideals, Amer. Math. Monthly , 295–310, 1990.
- Kuratowski, K. Topology I (Academic Press, New York, 1966).
- Levine, N. A decomposition of continuity in topological spaces, Amer Math. Monthly 68, –41, 1961.
- Levine, N. Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly , 44–46, 1963.
- 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, 47–53, 1982.
- Renukadevi, V. Relation between ideals and grills, J. Adv. Res. Pure Math. 2 (4), 9–14, Rose, D. A. Weak continuity and almost continuity, Internat. J. Math. Math. Sci. 7, 311– , 1984.
- Roy, B. and Mukherjee, M. N. On a typical topology induced by a grill, Soochow J. Math. (4), 771–786, 2007.
- Thron, W. J. Proximity structure and grills, Math. Ann. 206, 35–62, 1973.
- Vaidyanathaswamy, R. Set Topology (Chelsea Publishing Company, New York, 1960).
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Research Article |
| Authors | |
| Publication Date | June 1, 2012 |
| Published in Issue | Year 2012 Volume: 41 Issue: 6 |