Abstract
References
- Dontchev, J. Contra-continuous functions and strongly S-closed spaces, Internat. J. Math. Math. Sci. 19, 303–310, 1996.
- Dontchev, J. and Noiri, T. Contra-semicontinuous functions, Mathematica Pannonica 10(2), 159-168, 1999.
- Hatir, E. and Noiri, T. On decomposition of continuity via idealization, Acta Math. Hungar. 96, 341–349, 2002.
- Hatir, E. and Noiri, T. On semi-I-open sets and semi-I-continuous functions, Acta Math. Hungar. 107 (4), 345–353, 2005.
- Jankovi´c, D. and Hamlett, T. R. Compatible extensions of ideals, Boll. Un. Mat. Ital. 7 (6-B), 453–465, 1992.
- Kuratowski, K. Topology,Vol.I (Academic Press, New York, 1966).
- Levine, N. Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70, 36–41, 1963.
- Staum, R. The algebra of bounded continuous functions into a non-archimedean field, Pacific J. Math. 50, 169–185, 1974.
- Vaidyanathaswamy, R. The localization theory in set topology, Proc. Indian Acad. Sci. 20, 51–61, 1954.
Abstract
In this paper, we apply the notion of semi-I-open sets in ideal topological spaces to present and study a new class of functions called contra semi-I-continuous functions. Relationships between this new class and other classes of functions are established.
Keywords
Ideal topological space Semi-I-open sets Contra semi-I-continuous functions Contra I-irresolute functions Perfectly contra I-irresolute functions 2000 AMS Classification: 54 C 08
References
- Dontchev, J. Contra-continuous functions and strongly S-closed spaces, Internat. J. Math. Math. Sci. 19, 303–310, 1996.
- Dontchev, J. and Noiri, T. Contra-semicontinuous functions, Mathematica Pannonica 10(2), 159-168, 1999.
- Hatir, E. and Noiri, T. On decomposition of continuity via idealization, Acta Math. Hungar. 96, 341–349, 2002.
- Hatir, E. and Noiri, T. On semi-I-open sets and semi-I-continuous functions, Acta Math. Hungar. 107 (4), 345–353, 2005.
- Jankovi´c, D. and Hamlett, T. R. Compatible extensions of ideals, Boll. Un. Mat. Ital. 7 (6-B), 453–465, 1992.
- Kuratowski, K. Topology,Vol.I (Academic Press, New York, 1966).
- Levine, N. Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70, 36–41, 1963.
- Staum, R. The algebra of bounded continuous functions into a non-archimedean field, Pacific J. Math. 50, 169–185, 1974.
- Vaidyanathaswamy, R. The localization theory in set topology, Proc. Indian Acad. Sci. 20, 51–61, 1954.
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Research Article |
| Authors | |
| Publication Date | February 1, 2010 |
| Published in Issue | Year 2010 Volume: 39 Issue: 2 |